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T. Ibukiyama

Department of Mathematics

Graduate School of Science
Osaka University

Toyonaka, Osaka 560-0043 Japan

email: ibukiyam@(common address of the department)

伊吹山知義　オフィシャルサイト

Main refereed papers | Other papers | Proceedings edited 
The other books or writings

Papers

Links to the papers are in preparation.
Last modified December 25, 2023.

Main Refereed Papers

  1. S. Grushevsky, T. Ibukiyama, G. Mondello, R. Salvati Manni, Differentiating Siegel modular forms and the Moving slope of A_g, International Math. Research Notices, rnad203 (2023) 45 pp. https://doi.org/10.1093/imrn/rnad203 pdf
  2. H. Atobe, M. Chida, T. Ibukiyama, H. Katsurada and T. Yamauchi, Harder's Conjecture I, J. Math. Soc. Japan 75, (2023), 1339--1408. pdf
  3. T. Ibukiyama, Supersingular abelian varieties and quaternion hermitian lattices, RIMS Kokyuroku Bessatsu B90 (2022), 17--37. pdf
  4. T. Ibukiyama, Supersingular loci of low dimensions and parahoric subgroups, Osaka J. Math. Vol. 59, No.3 (2022). 703--726. pdf
  5. T. Ibukiyama, Differential operators, exact pullback formulas of Eisenstein series, and Laplace transforms, Forum Mathematicum 34 (2022). no.3. 685--710. https://doi.org/10.1515/forum-2021-0162 pdf
  6. T. Ibukiyama, Some Poisson formula on tube domains, Comment, Math. Univ. St. Pauli Vol. 69 (2021). http://id.nii.ac.jp/1062/00021298 pdf http://doi.org/10.14992/00021298.
  7. T. Ibukiyama, Principal polarizations of supersingular abelian surfaces, J. Math. Soc. Japan 72 no.4,(2020), 1161-1180. //doi.org/10.2969/jmsj/82528252. pdf.
  8. T. Ibukiyama, Generic differential operators on Siegel modular forms and special polynomials, Selecta Mathematica (N.S.) 26(2020) no.5, No.66, 50 pp. DOI.http;//doi.org/10.1007/s00029-020-00593-3. pdf
  9. T. Ibukiyama, Graded rings of modular forms of rational weights, Research in Number Theory (2020) 6: 8. https://doi.org/10.1007/s40993-019-0183-9, pdf (Mathematica program to check all relations for N=11 and 13 in the paper) N11allrel.nb, N13allrel.nb
  10. T. Ibukiyama, One-line formula for automorphic differential operators on Siegel modular forms, Abh. Math. Semin. Univ. Hambg. 89 (2019), no. 1, 17--43. DOI https://doi.org/10.1007/s12188-019-00202-x pdf
  11. T. Ibukiyama, Quinary lattices and binary quaternion hermitian lattices, Tohoku Math. J. (2) 71 (2019), no. 2, 207--220. pdf
  12. T. Ibukiyama and S. Takemori, Construction of theta series of any vector valued weight and applications to lifts and congruences, Exp. Math. 28 (2019), no. 1, 95--114. doi: 10.1080/10586458.2017.1353454
  13. J. Bergstroem, N. Dummigan, T. M\'egarban\'e, T. Ibukiyama, H. Katsurada, Eisenstein congruences for SO(4,3) and SO(4,4), spinor and triple products L values, Experimental Math. Vol.27 Issue 2.(2018), 230-250, published online Dec 23, 2016.http://dx.doi.org/10.1080/10586458.2016.1251861, pdf
  14. T. Ibukiyama, Type numbers of quaternion hermitian forms and supersingular abelian varieties, Osaka J. Math. Vol. 55 (2018), 369-384 pdf
  15. T. Ibukiyama, Conjectures on correspondence of symplectic modular forms of middle parahoric type and Ihara lifts, published online March 21, 2018, Research in the Mathematical Sciences (Proceedings of "Modular Forms are Everywhere".). DOI: 10.1007/s40687-018-0136-2. pdf
  16. T. Ibukiyama and H. Kitayama, Dimension formulas of paramodular forms of squarefree level and comparison with inner twist, J. Math. Soc. Japan 69 (2017), 597 -- 671.DOI: 10.1080/10586458.2017.1353454 pdf
  17. T. Ibukiyama, Composition of automorphic differential operators on Siegel modular forms, Comment. Math. Univ. St. Pauli. Vol. 65 (2016), 97--109. DOI: 10.14992/00014545. pdf
  18. T. Ibukiyama, Structures and dimensions of vector valued Jacobi forms of degree two, Publication RIMS Vol. 51 no. 3 (2015), 513-547.DOI: 10.4171/PRIMS/163. pdf
  19. T. Ibukiyama, Conjectures of Shimura type and of Harder type revisited, Comment. Math. Univ. St. Pauli Vol. 63(2014), 79--103.DOI: 10.14992/00010879. pdf
  20. T. Arakawa, T. Ibukiyama, M. Kaneko, Bernoulli Numbers and Zeta Functions, Springer Verlag (2014), xi+274 pp. springer site
  21. T. Ibukiyama, H. Katsurada, C. Poor and D. Yuen, Congruences to Ikeda-Miyawaki lifts and triple L-values of elliptic modular forms, J. Number Theory 134(2014), 142--180. pdf
  22. T. Ibukiyama and H. Katsurada, Exact critical values of the symmetric fourth L functions and vector valued Siegel modular forms, J. Math. Soc. Japan Vol. 66 No. 1 (2014), 139--160. site
  23. T. Ibukiyama, Modules of vector valued Siegel modular forms of half integral weight, Comment. Math. Univ. St. Pauli Vol. 62 No. 2 (2013), 109--124. DOI: 10.14992/00007670. pdf
  24. T. Ibukiyama, C. Poor and D. Yuen, Jacobi forms that characterize paramodular forms, arXiv:1209.3438v1 [math.NT]. Abh. Math. Sem. Univ. Hamburg. DOI 10.1007/s12188-013-0078-y Vol. 83 (2013), 111-128. pdf
  25. Tomoyoshi Ibukiyama and Hiroshi Saito, On zeta functions associated to symmetric matrices II: Functional equations and special values, Hiroshi Saito Memorial Volume of Nagoya Math. J. Vol. 208(2012), 263-315. pdf
  26. Tomoyoshi Ibukiyama, Lifting conjectures from vector valued Siegel modular forms of degree two, Commentarii Mathematici Univ. St. Pauli in Vol. 61 No.1 (2012), 87-102. pdf
  27. Tomoyoshi Ibukiyama, Vector valued Siegel modular forms of symmetric tensor weight of small degree, Commentarii Math. Univ. St. Pauli Vl. 61 No. 1(2012), 51-75. pdf
  28. T. Ibukiyama, Taylor expansions of Jacobi forms and applications to higher indices of degree two, Publ. Res. Inst. Math. Sci. Vol. 48 No. 3 (2012), 579-613. site
  29. S. Boecherer and T. Ibukiyama, Surjectivity of Siegel Φ-operator for square free level and small weight. Annales de l'institut Fourier Tome 62 no. 1(2012), 121-144. pdf
  30. T. Ibukiyama, Saito Kurokawa lifting of level N and practical construction of Jacobi forms, Kyoto J. Math. Vol. 52, No. 1 (2012), 141-178. doi:10.1215/21562261-1502791 site
  31. T. Ibukiyama, T. Kuzumaki and H. Ochiai, Holonomic systems of Gegenbauer type polynomials of matrix arguments related with Siegel modular forms, J. Math. Soc. Japan Vol. 64 No.1(2012), 273-316. doi: 10.2969/jmsj/06410273　 site
  32. T. Ibukiyama and H. Katsurada, An Atkin-Lehner type theory on Siegel modular forms and primitive Fourier coefficients, in Geometry and Analysis of Automorphic Forms of Several Variables Ed. by Y. Hamahata, T. Ichikawa, A. Murase, T. Sugano, Series on Number Theory and Its Applications Vol. 7, World Scientific. (2011), 196-210. ( 388 pp.+x) pdf
  33. T. Ibukiyama and R. Kyomura, A generalization of vector valued Jacobi forms, Osaka J. Math. 48 (2011), 783-808.　 pdf
  34. N. Dummigan, T. Ibukiyama and H. Katsurada, Some Siegel modular standard L-values, and Shafarevich-Tate groups, J. Number Theory Vol. 131, Issue 7 (2011), 1296-1330. doi:10.1016/j.jnt.2011.01.012 site
  35. Tomoyoshi Ibukiyama and Satoshi Wakatsuki, Siegel modular forms of small weight and the Witt operator, Comtemporary Math. 493 AMS, Quadratic Forms−Algebra, Arithmetic, and Geometry. Algebraic and Arithmetic Theory of Quadratic Forms, December 13-19, 2007 Frutillar, Chile. Ed. Ricardo Baeza, Wai Kiu Chan, Detlev W. Hoffmann, Rainer Schulze-Pillot. AMS (2009), 189-209. pdf
  36. Tomoyoshi Ibukiyama, A Conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences, Modular Forms on Schiermonnikoog Edited by Bas Edixhoven, Gerard van der Geer and Ben Moonen, Cambridge University Press (2008), 107-144. pdf
  37. Tomoyoshi Ibukiyama and Nils-Peter Skoruppa, A vanishing theorem of Siegel modular forms of weight one, Abhand. Math. Sem. Univ. Hamburg No. 77 (2007), 229-235. pdf
  38. T. Ibukiyama, Siegel Modular Forms of Weight Three and Conjectural Correspondence of Shimura Type and Langlands Type, The conference on L-functions, Fukuoka Japan 18-23 February 2006, edited by L. Weng and M. Kaneko, World Scientific New Jersey London Singapore Beijing Shanghai Hongkong Taipei Chennai (2007), 55-69, pdf
  39. T. Ibukiyama and H. Katsurada, Koecher Maass Series for Real Analytic Siegel Eisenstein Series, in Automorphic Forms and Zeta Functions ed. by S. Boecherer, T. Ibukiyama, M. Kaneko, F. Sato, World Scientific (2006),170-197. pdf
  40. S. Hayashida and T. Ibukiyama, Siegel modular forms of half integral weight and a lifting conjecture, J. Math. Kyoto Univ. Vol. 45 No. 3 (2005), 489-530. pdf
  41. T. Ibukiyama, Positivity of eta products of a certain case of K. Saito's conjecture, Publication RIMS 41 No. 3(2005), 683-693. pdf
  42. H. Aoki and T. Ibukiyama Simple Graded Rings of Siegel Modular Forms, Differential Operators and Borcherds Products, International J. Math. Vol. 16 No. 3 (2005), 249-279. pdf
  43. T. Ibukiyama and H. Katsurada, An explicit formula for the Koecher Maass Dirichlet series for the Ikeda lift, Abhand. Math. Semi. Univ. Hamburg no.74(2004), 101-121. pdf
  44. E. Bannai, M. Harada, T. Ibukiyama. A. Munemasa, M. Oura, Type II Codes over F2+uF2 and applications to hermitian modular forms, Abhand. Math. Semi. Univ. Hamburg, Band 73(2003), 13-42. pdf
  45. Tomoyoshi Ibukiyama and Hidenori Katsurada, An explicit formula for Koecher Maass Dirichlet series for Eisenstein series of Klingen type, J. Number Theory Vol. 102, No. 2 (2003), 223-256. pdf
  46. T. Ibukiyama and H. Saito (translated by Don Zagier), On "easy" zeta functions, Sugaku Expositions 14 (2001), no. 2, 191-204. pdf
  47. Tomoyoshi Ibukiyama and Hidenori Katsurada, On squared Möbius function for half integral matrices and its application, J. Number Theory 86 (2001), 78-117. pdf
  48. Tomoyoshi Ibukiyama, Modular forms of rational weights and modular varieties, Abhand. Math. Semi. Univ. Hamburg 70. (2000), 315-339. pdf
  49. Tomoyoshi Ibukiyama, On differential operators on automorphic forms and invariant pluriharmonic polynomials Commentarii Math. Univ. St. Pauli 48(1999), 103-118. pdf
  50. Tomoyoshi Ibukiyama, On some elementary character sums Commentarii Math. Univ. St. Pauli 47(1998), 7-13. pdf
  51. W. Eholzer and Tomoyoshi Ibukiyama, Rankin-Cohen type differential operators for Siegel modular forms, International J. Math. Vol. 9 No. 4 (1998), 443-463. pdf
  52. Tomoyoshi Ibukiyama and Hiroshi Saito, Easy zeta functions, Japan Math. Soc, "Sugaku" Vol. 50 No.1 (1998), 1-11. in Japanese, pdf
  53. Tomoyoshi Ibukiyama and Fumie Onodera, On the graded ring of modular forms of the Siegel paramodular group of level 2, Abh. Math. Sem.Univ. Hamburg 67 (1997), 297-305. site
  54. Tomoyoshi Ibukiyama and Hiroshi Saito, On zeta functions associated to symmetric matrices III. An explicit form of L functions, Nagoya Math. J. 146(1997), 149-183.site
  55. Tomoyoshi Ibukiyama and Hiroshi Saito, On zeta functions associated to symmetric matrices I. An explicit form of zeta functions. Amer. J. Math. 117(1995), no.5, 1097-1155. pdf
  56. Tomoyoshi Ibukiyama and Hiroshi Saito. On L-functions of ternary zero forms and exponential sums of Lee and Weintraub, J. Number Theory 48(1994), no.2, 252-257. pdf
  57. Tomoyoshi Ibukiyama and Toshiyuki Katsura. On the field of definition of superspecial polarized abelian varieties and type numbers. Compositio Math. 91(1994), no.1, 37-46.　 pdf
  58. Tomoyoshi Ibukiyama. On some alternating sums of dimemsions of Siegel modular forms of general degree and cusp configurations. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 40(1993), no.2, 245-283. pdf
  59. Tomoyoshi Ibukiyama, On rational points of curves of genus three over finite fields. Tôhoku Math. J. 45(1993), 311-329.pdf
  60. Tomoyoshi Ibukiyama. On Jacobi forms and Siegel modular forms of half integral weights. Comment. Math. Univ. St. Paul. 41(1992), no.2, 109-124. pdf
  61. Tomoyoshi Ibukiyama and Hiroshi Saito, On zeta functions associated to symmetric matrices and an explicit conjecture on dimensions of Siegel modular forms of general degree, Internt. Math. Res. Notices 1992, no.8, 161-169. pdf
  62. Tomoyoshi Ibukiyama. On Siegel modular varieties of level three. 1991. International J. Math. 2 (1991), no.1, 17-35. pdf
  63. Tomoyoshi Ibukiyama. On automorphism groups of positive definite binary quaternion hermitian lattices and new mass formula, pages 301-349. Advanced Studies in pure Math. Vol.15, Kinokuniya, Tokyo, 1989. pdf
  64. Tomoyoshi Ibukiyama and Yasutaka Ihara. On automorphic forms on the unitary symplectic group Sp(n) and SL2(R) Math. Ann., 278:307-327, 1987. pdf
  65. Tomoyoshi Ibukiyama, Toshiyuki Katsura, and Frans Oort. Supersingular curves of genus two and class numbers. Compositio Math., 57:127-152, 1986. pdf
  66. Ki-ichiro Hashimoto and Tomoyoshi Ibukiyama. On relations of dimensions of automorphic forms of Sp(2;R) and its compact twist Sp(2) (II). Advanced Studies in Pure Math., 7:30-102, 1985. pdf
  67. Tomoyoshi Ibukiyama. On relations of dimensions of automorphic forms of Sp(2;R) and its compact twist Sp(2) (I). Advanced Studies in Pure Math., 7:7-29, 1985. pdf
  68. Tomoyoshi Ibukiyama. Construction of half integral weight Siegel modular forms of Sp(2;R) from automorphic forms of the compact twist Sp(2). J. reine angew. Math., 359:188-220, 1985. pdf
  69. Tomoyoshi Ibukiyama. On automorphic forms of Sp(2;R) and its compact form Sp(2). Séminaire de Théorie des nomble de Paris, 1982-1983, Progr. Math. 51, Birkhauser Boston,Inc.:125-134, 1984.
  70. Tomoyoshi Ibukiyama. On symplectic Euler factors of genus two. J.Fac.Sci.Univ.Tokyo Sec.IA Math., 30:587-614, 1984. pdf
  71. Ki-ichiro Hashimoto and Tomoyoshi Ibukiyama. On class numbers of positive definite binary quaternion harmitian forms (III). J.Fac.Sci.Univ.Tokyo Sect.IA Math., 30:393-401, 1983. pdf
  72. Ki-ichiro Hashimoto and Tomoyoshi Ibukiyama. On class numbers of positive definite binary quaternion harmitian forms (II). J.Fac.Sci.Univ.Tokyo SectIA Math., 28:695-699, 1982. pdf
  73. Tomoyoshi Ibukiyama. On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings. Nagoya Math. J., 88:181-195, 1982. pdf
  74. Ki-ichiro Hashimoto and Tomoyoshi Ibukiyama. On class numbers of positive definite binary quaternion harmitian forms. J.Fac.Sci.Univ.Tokyo Sect.IA Math., 27:549-601, 1980. pdf
  75. Tomoyoshi Ibukiyama. Formal groups and L-functions. J.Fac.Sci.Univ.Tokyo Sect.IA Math., 21:249-262, 1974. pdf

Preprint

  1. T. Ibukiyama, Universal automorphic differential operators on Siegel modular forms and special polynomials (preprint, published as "Generic differential operators on Siegel modular forms and special polynomials"; See the above list of main papers.)
  2. S. Grushevsky, T. Ibukiyama, G. Mondello, R. Salvati Manni, Differentiating Siegel modular forms and the moving slope of A_g, arXiv 2207.04139
  3. T. Ibukiyama, V. Karemaker, C-F. Yu, The Gauss problems for central leaves, arXiv. 2205.13180
  4. H. Atobe, M. Chida, T. Ibukiyama, H. Katsurada, and T. Yamauchi, Harder's conjectuer I, arXiv2109.10551
  5. T. Ibukiyama, Dimensions of paramodular forms and compact twist modular forms with involutions, arXiv2208.13578
  6. T. Ibukiyama, Genus character L functions of quadratic orders in an adelic way and maximal orders of matrix algebras, arXiv2303.14987
  7. H. Atobe, M. Chida, T. Ibukiyama, H. Katsurada, and T. Yamauchi, Harder's conjectuer II, arXiv2306.07582

Other papers

  1. T. Ibukiyama, Differential operators on Siegel modular forms and automorphy factors, RIMS Kokyuroku: Analytic and arithmetic aspects of automorphis representations. No. 2264, (2023), 210--225. pdf
  2. T. Ibukiyama, Pullback formula and applications, RIMS Kokyuroku:　Analytic, geometric and p-adic aspects of automorphic forms, No. 2197, (2021),184-198. pdf
  3. T. Ibukiyama, Siegel modular forms and special polynomials, RIMS Kokyuroku「Research on algebraic combinatorics, related groups and algebras, No. 2148, (2020),66--79. pdf
  4. T. Ibukiyama, Ihara lifts and conjectural correspondences between symplectic automorphic forms of genus two, 「Profinite monodromy, Galois representations, and complex functions, Suurikenkokyuroku No. 2120, (2019),61--71. pdf
  5. T, Ibukiyama, Siegel modular forms of middle parahoric subgroups and Ihara lift, Suurikenkokyurokyu No. 2100 (2019), 202-213. pdf
  6. T. Ibukiyama, G-type numbers of quaternion hermitian lattices and supersingular geometry, RIMS Kokyuroku No. 2055, Automorphic Forms and Related Topics (2017),148-159. .
  7. T. Ibukiyama and S. Takemori, Construction of theta functions of any verctor valued weight and applications to lifts and congruences, RIMS Kokyuroku No. 2055, Automorphic Forms and Related Topics (2017),124-136. .
  8. T. Ibukiyama, Universal differential operators on Siegel Modular Forms, RIMS Surikaiseki-Kenkyujo Kokyuroku No. 2036 Automorphic Forms, Automorphic L functions and Related Topics. (2017), 113-127.
  9. T. Ibukiyama, Three theorems on Jacobi forms of general degree, RIMS Surikaiseki-Kenkyujo Kokyuroku 1973 Modular Forms and Automorphic Representations (2015), 18--33.
  10. T. Ibukiyama, Construction of liftings to vector valued Siegel modular forms, Proceedings of the Workshop on Number Theory at Waseda University 2014, (2014), 125--144.
  11. T. Ibukiyama, Higher spherical polynomials(joint work with Don Zagier) RIMS Surikaiseki-Kenkyujo Kokyuroku 1934, Automorphic Forms and Related Zeta Functions (2015), 123-137.
  12. T. Ibukiyama, Construction of liftings to vector valued Siegel modular forms (2014), Oberwolfach Report No.22/2014, 3pp. DOI: DOI: 10.4171/OWR/2014/22.
  13. T. Ibukiyama, Structures and dimensions of vector valued Jacobi forms, and conjectures of Shimura type and Harder type, Surikaiseki-kenkyujo Kokyuroku 1715, Automorphic Representations and Related Topics, (2013), 214--225.
  14. T. Ibukiyama, Saito-Kurokawa lifting of level N, in Japanese, Proceedings of the 19-th summer school on number theory, "Liftings"(2012), 163-181.pdf
  15. T. Ibukiyama, Exact critical values of the symmetric fourth L function and Zagier's conjecture, abstract of thet talk in Arbeitstagung, 2011, MPI in Bonn, MPI preprint series. pp. 4. AT2011 pdf
  16. T. Ibukiyama, Classification of SL2(Z) conjugacy classes and the trace formula, in Japanese, Proc. 18-th summer school on number theory, "Introduction to the Arthur-Selberg trace formula" (2011), 135-160.
  17. T. Ibukiyama, Taylor expansions of Jacobi forms of general degree and explicit structures in higher indices, Surikaiseki-kenkyujo Kokyuroku 1715, Study on Automorphic forms, automorphic representations and associated L functions and periods, (2010) pp. 169-182. pdf
  18. T. Ibukiyama, Dimension formulas of Siegel modular forms of weight 3 and supersingular abelian varieties, Proceedings of the 4-th Spring Conference on modular forms and related topics, "Siegel Modular Forms and Abelian Varieties" ed. by T. Ibukiyama (2007), 39-60. pdf
  19. T. Ibukiyama, Paramodular forms and compact twist, Automorphic Forms on GSp(4), Proceedings of the 9-th Autumn Workshop on Number Theory, Ed. M. Furusawa (2007), 37-48. pdf
  20. T. Ibukiyama, Higher Spherical polynomials and functions, The proceedings of Second COE Workshop on Sphere Packings, ed. by Eiichi Bannai, (2005), 95-101.
  21. T. Ibukiyama, K. Saito's conjecture on positivity of eta products and "extremal pair" of lattices, Oberwolfach Report 1/2005 (2005), 54-55.
  22. T. Ibukiyama, Differential operators on Siegel modular forms and Related topics, Proceedings of the 7-th autumn workshop on number theory, "Differential operators on Siegel modular forms and application" (2005), 1-22.
  23. T. Ibukiyama, Conjectures on various liftings and Shimura type correspondence, in Japanese, Proc. 49-th Symposium on Algebra, (2005)、pp.1-13,
  24. T. Ibukiyama, Construction of vector valued Siegel modular forms and conjecture on Shimura correspondence, The third spring conference on modular forms and related topics. (2004),1 - 7.
  25. T. Ibukiyama, Formulaton of Shimura type correspondence on Siegel modular forms and examples of cubic zeta liftings, in Japanese, Kyoto Univ. Surikaiseki-kenkyujo Kokyuroku "Construction of automorphic forms and its applications" (2004), pp.137-148. pdf
  26. T. Ibukiyama, Application of Modular Forms to Lattices, in Japanese, Proc. 2-nd Spring Conference on related areas of automorphic forms, (2004), pp.1-30.
  27. T. Ibukiyama, Introduction to Siegel modular forms and rings of modular forms, in Japanese, Proc. of 1st Spring Conference on Related Areas of Automorphic Forms, (2003), pp.1-42.
  28. T. Ibukiyama, Vector Valued Siegel Modular Forms of Sym(4) and Sym(6), Kyoto Univ. Surikaiseki-kenkyujo Kokyuryoku 1281, Study on automorphic forms and associated Dirichlet series, (2002),129-140 pdf
  29. T. Ibukiyama, Memoirs on "Easy" Zeta Functions, in Japanese, Proc. 9-th Summer School on Number Theory(2002), 235-248 pdf
  30. Syuichi Hayashida and Tomoyoshi Ibukiyama, A lifting conjecture on Siegel modular forms of half integral weights, Proceedings of Japanesema-German seminar "Explicit structure of modular forms and zeta functions, ed. by T. Ibukiyama and W. Kohnen (2002), 80 - 89
  31. T. Ibukiyama, Graded rings of modular forms of rational weights of level 11 and 13, Proceedings of the Workshop on Number Theory 2001, Institute of Math. Waseda Univ. (2001), 104-113.
  32. T. Ibukiyama, Differential operators and structures of vector valued Siegel modular forms, Kyoto Univ. Suriken-Kokyuroku 1200, Algebraic Number Theory and Related Topics(2001), 71 - 81. pdf
  33. T. Ibukiyama, A general theory of differential operators on Siegel modular forms and special polynomials, Proc. of Conference on Codes, lattices, modular forms and vertex operator algebras, Yamagata Univ. (2001) 53- 65.
  34. T. Ibukiyama, Dimension of holomorphic automorphic forms of tube domains; the contribution of central unipotent elements and zeta functions of prehomogeneous vector spaces, Proc. Autumn Workshop on Number Theory, "Dimension Formulas of Automorphic Forms" (2001), 66 - 92.
  35. T. Ibukiyama, Modular forms of fractional weight, Proc. 8-th Summer School on Number Theory(2001), 1-22. pdf
  36. T. Ibukiyama and S. Hayashida, Siegel modular forms of half integral weights and a lifting conjecture, Kyoto Univ. Suriken-Kokyuroku Automorphic forms on algebraic groups, automorphic representations and automorphic L functions No. 1173 (2000) pp. 98-112 pdf
  37. T. Ibukiyama, Classification and Construction of Exceptional Lie Algebras, pdf Proc. 7-th Summer School on Number Theory, (2000), pp. 212-241.
  38. T. Ibukiyama, On explicit form of various zeta functions of quadratic forms, Proc. Algebraic Combinatorics and combinatorial theory of quadratic forms, (Yamagata 1998), (2000), pp. 63-70. pdf
  39. T. Ibukiyama, Siegel modular forms of half integral weight of F0(4) of degree two, Proc. Symposium on Algebraic Combinatorics・i1999), pp.134-140.
  40. T. Ibukiyama, Existence of algebraic curves of genus three with maximum number of rational points over Fp2(p: any odd prime), Proc. Algebraic Geometry, Number Theory, and Code and Cryptography, (1998) pp. 17-25.
  41. T. Ibukiyama, Koecher Maass series on Tube domains, in Japanese, Proc. 1st Autumn Workshop on Number Theory (1999), 1-46
  42. T. Ibukiyama and H. Katsurada, Koecher-Maass Dirichlet series for Eisenstein series of Klingen type, Kyoto Univ. Suriken-Kokyuroku 1052, Automorphic forms and number theory, (1998), 217-230. pdf
  43. T. Ibukiyama, A survey on the new proof of Saito-Kurokawa lifting after Duke and Imamoglu, in Japanese, Proc. 5-th Summer School on Number Theory, (1997), 134-176. pdf
  44. Tomoyoshi Ibukiyama, On Shintani's zeta functions of ternary zero forms (third approach), Suriken-Kokyuroku 999, (1997),10-20.　 pdf
  45. T. Ibukiyama and H. Katsurada, An explicit form of Koecher Maass Dirichlet series associated with Siegel Eisenstein series, Kyoto Univ. Suriken-Kokyuroku 965, Automorphic forms on Algebraic groups (1996), 41-51. pdf
  46. T. Ibukiyama, On dimensions of automorphic forms and zeta functions of prehomogeneous vector space, Kyoto Univ. Suriken-Kokyuroku 924, Study of Prehomogeneous Vector Spaces, 1995, 127-133. pdf
  47. T. Ibukiyama, An explicit formula for zeta functions associated with quadratic forms （note by Akihiko Gyoja）Kyoto Unib. 924, Study of Prehomogeneous Vector Spaces, 1995, 88-101. pdf
  48. T. Ibukiyama, On dimension formulas of automorphic forms, Proc. 39-th Sympoium on Algebra, 1995, 115-117.
  49. T. Ibukiyama, On some elementary exponential sums, Proceedings of conference on Number Theory I, Waseda Univ. 1994, p.93.
  50. T. Ibukiyama, Introduction to quadratic forms (II)(Indefinite quadratic forms and Eisenstein series), Proc. 1st Summer School on Number Theory, 1993, 56-75.
  51. T. Ibukiyama and H. Saito, On zeta functions of symmetric matrices and dimensions of Siegel modular forms, Kyoto Univ. Suriken-Kokyuroku 843, Study on Automorphic forms and L functions, 1993, 150-161. pdf
  52. T. Ibukiyama, On differential operators on automrophic forms and invariant pluri-harmonic polynomials,Kyoto Univ. Suriken-Kokyuroku 805, Study on Automorphic Forms and Related Zeta Functions(1992), 88-100. pdf
  53. T. Ibukiyama, Arithmetic Theory of Supersingular abelian varieties, Kyoto Univ. Suriken-Kokyuroku 775, Einstein metric and Yang-Mills connection, 1992, 154-166. pdf
  54. T. Ibukiyama, Parahoric subgroups and automorphic forms, Kyoto Univ. Suriken-Kokyuroku 737, Algebraic Groups and Related Topics(1990), 94-105. pdf
  55. T. Ibukiyama, Field of definitions of supersingular abelian varieties and rational points of algebraic curves, Kyoto Univ. Suriken-Kokyuroku 727, Number Theory--Study related to automorphic forms, 1990, 53-68. pdf
  56. T. Ibukiyama, A program for generalization of Eichler correspondence, Kyoto Univ. Suriken-Kokyuroku 689、 Number Theory and Automorphic Forms, 1989, 1-24. pdf
  57. T. Ibukiyama, Vanishing of the contribution of unipotent conjugacy classes to the dimension formula of auromorphic forms, Kyoto Univ. Suriken-Kokyuroku 617, Automorphic Forms and Related Topics, 1987, 160-175. pdf
  58. T. Ibukiyama, Jacobi forms and Siegel modular form of half-integral weight, Proceedings of Conference on Number Theory at Kyushu Univ, 1986, 8-13.
  59. T. Ibukiyama, Automorphism groups of lattices and a generalization of trace formulas, Kyoto Univ. Suriken-Kokyuroku 583, Study on Automorphic Representations, 1986, 106-119. pdf
  60. T. Ibukiyama and K. Hashimoto, Comparison of dimensions of automorphic forms of Sp(2;R) andSp(2) Kyoto Univ. Suriken-Kokyuroku 546, Symposium on Automorphic Forms 1985, 24-50. pdf
  61. T. Ibukiyama, On symplectic Euler factors of genus two, Kyoto Univ. Suriken-Kokyuroku 447, Theta functions, Siegel modular forms and related topics, 1981, 32-43. pdf
  62. T. Ibukiyama, On Siegel modular forms, Proc. of Overall Conference at Nagoya Univ. 1980, 145-157.
  63. T. Ibukiyama and K. Hashimoto, On class numbers of positive definite binary quaternion hermitian forms, Proc. 25-th Symposium on Algebra, 1979, 1-12.
  64. T. Ibukiyama, A basis and maximal orders of quaternion algebras over the rational number field, "Sugaku" published by Mathematical Society of Japan, Vol. 24 No. 4(1972), 316-318.

Edit of Academic Proceedings

  1. B. Heim, M. Al-Baali, T. Ibukiyama, R. Rupp (Eds), Automorphic Forms, Springer Proceedings in mathematics and Statistics, Vol. 115, (2014), 242 pp. + xiv, Springer Verlag.
  2. T. Ibukiyama Editor, Proceedings of the 4-th Spring Conference on Modular Forms and Related Topics, Hamana Lake Curreac, "Siegel Modular Forms and Abelian Varieties", (2007) pp.255+xi
  3. S. Boecherer, T. Ibukiyama, M. Kaneko and F. Sato Editors, Automorphic Forms and Zeta Functions, Proceedings of the Conference in Memory of Tsuneo Arakawa, World Scientific (2006) pp.388 + x.
  4. T. Ibukiyama Editor, Proceedings of the 7-th Autumn Workshop on Number Theory at Hakuba, "Differential operators on Siegel modular forms and application", 2005, pp. 182 +xix.
  5. T. Ibukiyama Editor, Proceedings of the Third Spring Conference on Modular Forms and Related Topics, Hamana Lake Curreac, (2005), 108 pages.
  6. Ed. by T, Ibukiyama, Proc. 2nd Spring Conference on Automorphic Forms and Related Topics, Hamana Lake Curreac(2004), pp. 238
  7. Ed. by T. Ibukiyama, Proc. 1st Spring Conference on Automorphic Forms and Related Topics, Hamana Lake Curreac "Ring of Modular Forms", (2003), pp.191
  8. T. Ibukiyama and W. Kohnen Editors, Proceedings of Japanese-German Seminar on "Explicit structures of modular forms and zeta functions" at Hakuba, 2002, 251 pages.
  9. T. Ibukiyama Editor, Proc. 3rd Autumn Workshop on Number Theory at Hakuba, "Dimension Formulas of Automorphic Forms" (2001) pp.250
  10. T. Ibukiyama, Ed. Proc. 2nd Autumn Workshop on Number Theory at Hakuba, "Eisenstein Series" (2000), pp.121
  11. T. Ibukiyama, Ed. Proc. 1st Autumn Workshop on Number Theory at Hakuba, "Koecher-Maass Series" (1999) pp.243
  12. T. Ibukiyama, Ed. Proc. 1st Summer School on Number THeory, "Eisenstein Series" (1994) pp. 182
  13. T. Ibukiyama, Ed. Kyoto Univ. Suriken-Kokyuroku 843, Study on Automorphic Forms and L functions, (1993)

Books and Writings

Mathematical writings

  1. T. Ibukiyama, Topics on modular forms, Kyoritsu Shuppan Co., Ltd. x+467 pp. May, 2018.
  2. T. Arakawa, T. Ibukiyama, M. Kaneko, Bernoulli Numbers and Zeta Functions, Springer Verlag (2014), xi+274 pp. (The same as the one given in the list of papers.)
  3. T. Ibukiyama, "Numbers that people do not know", in Japanese in "Outline of modern mathematics III" Ed. by N. Kawanaka and M. Miyanishi, Osaka University Press (2002),
  4. T. Arakawa,T. Ibukiyama and M. Kaneko, Bernoulli Numbers and Zeta Functions, in Japanese, Makino Publisher, pp. 243+ ix(2001)
  5. T. Ibukiyama, Cyclotomic equations, in Japanese, in "Hundred equations in Mathematics and Physics" (Sugaku Seminar Extra Issue),(1989), 50--51, Nippon Hyoron Sha Co. Ltd.
  6. T. Ibukiyama, Geometry of the upper half plane and number theory, Chapter 5 in Culture of Numbers and Figures(Extension lecture in Kyushu University 19), (1988), 117-139, Ed. By M. Kamata, Kyushu Univ. Press.
  7. T. Ibukiyama, Linear Algebra, in Japanese, Kindai-Kagaku Sha Co. Ltd. (1987), pp. 169+iv
  8. T. Ibukiyama, on Formal groups and zeta-functions by Taira Honda, in Special Issue of "Kagaku" for the 50-th volume, "Fifty years of Science in Japan viewing from papers" Iwanami Publisher, (1980)

Other writings

  1. T. Ibukiyama, Number Theory and Equations, Surikagaku, March, (2011). 52-58, Saiensu-sha Co. Ltd. Publisher.
  2. T. Ibukiyama, Book Review, "To people aiming mathematics" Sugaku Seminar March, 2006, Nippon Hyoron-Sha Co. Ltd Publisher.
  3. T. Ibukiyama, "Starting from binary quadratic forms", in Sugaku Guidance Hyper, Nippon Hyoron-Sha Co. Ltd Publisher, March, 2005.
  4. T. Ibukiyama, Number Theory, Starting from quadratic forms, Sugaku Seminar, January 2003, Nippon Hyoron-Sha Co. Ltd Publisher,
  5. T. Ibukiyama, Riemann zeta functions and Euler products, Sugaku Seminar, Nippon Hyoron-Sha Co. Ltd Publisher. Vol, 41 No. 6 June, (2002), 26--27.
  6. T. Ibukiyama, Sduty of entrance examinations to graduate school, Calculation of Algebraic Number Field and Numbers, Sugaku Seminar, Nippon Hyoron-Sha Co. Ltd Publisher, Vol. 36, October, (1997), 74-75.
  7. T. Ibukiyama, Elementary topics on automorphic forms, Sugaku Seminar, Nippon Hyoron-Sha Co. Ltd Publisher. Vol. 31 No. 13, December (1992), 66-70.
  8. T. Ibukiyama, Beyond mechanical calculation, Sugaku Seminar, Nippon Hyoron-Sha Co. Ltd Publisher, Vol. 28 No. 12 December(1989).
  9. T. Honda (Note by T. Ibukiyama with Appendix), Algebraic differential equations, Tokyo Univ. Seminar Note Vol 38, Ooctober 1977, pp. 55
  10. T. Ibukiyama, Impression of International Symposium on Algebraic Number Theory, "Sugaku", Vol. 29 No. 3, (1977), 221-222, Math. Soc. Japan
  11. T. Ibukiyama, Book Review, Elliptic functions by S. Lang, Surikagaku Vol 148, October 1975, p.74, Saiensu-sha Co. Ltd Publisher.

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