List of papers

• S. Ohnaka and T. Watanabe, A gap of the exponents of repetitions of Sturmian words, Moscow Journal of Combinatorics and Number Theory 10 No.3, 203 - 234 (2021) (link)
• T. Watanabe, Appendix of "Fundamental domains of arithmetic quotients of reductive groups over number fields" by Lee Tim Weng, Pacific J. Math. 290 No. 1, 164 - 167 (2017) (link)
• H. Komatsu and T. Watanabe, Perfect unary forms over certain cubic fields, International Journal of Number Theory 10, No.5, 1337 - 1342 (2014) (link)
• T. Watanabe, Ryshkov domains of reductive algebraic groups, Pacific J. Math. 270 No. 1, 237 - 255 (2014) (link)
• T. Watanabe, S. Yano and T. Hayashi, Voronoi's reduction theory of GL_n over a totally real number field, in "Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms" edited by Chan, Fukshansky, Schulze-Pillot and Vaaler, Contemporary Math. 587, Amer. Math. Soc., 2013.
• T. Watanabe, A survey on Voronoi's theorem, in "Geometry and Analysis of Automorphic Forms of Several Variables" edited by Hamahata, Ichikawa, Murase and Sugano, Series on Number Theory and Its Applications, Vol. 7, World Scientific, 2011. (pdf)
• T. Watanabe, A note on Lie algebras of type E₆, preprint (pdf)
• K. Sawatani and T. Watanabe, Type one functions and Voronoi's theorem, J. Convex Analysis 18, 341 - 351 (2011) (link)
• K. Sawatani, T. Watanabe and K. Okuda, A note on the Hermite-Rankin constant, J. Th. Nombres Bordeaux 22, 209 - 217 (2010).
• T. Watanabe and R. Yoshimitsu, A bound of the number of reduced Arakelov divisors of a number field, Contemporary Math. 493, Amer. Math. Soc., 399 - 408 (2009).
• T. Watanabe, On the best bound of the minimal twisted height of linear subspaces, Archiv. Math. 87 No. 4, 320 - 329 (2006).
• T. Watanabe, Minkowski's second theorem over a simple algebra, Monatsh. Math. 149 No.2, 155 - 172 (2006).
• R. Coulangeon and T. Watanabe, Hermite constant and Voronoi theory over a quaternion skew field, Osaka Journal of Math. 43, 517 - 556 (2006).
• Y. Nakamura and T. Watanabe, The normalization constant of a certain invariant measure on GL_n(D_A), Manuscripta Math. 115, 259 - 280 (2004).
• T. Watanabe, Certain inequalities satisfied by the Hermite constants of a global field, Commentarii Mathematici Univ. Sancti Pauli, 53 No.1, 77 - 83 (2004).
• T. Watanabe, A survey and a complement of fundamental Hermite constants, Contemporary Math. 344, Amer. Math. Soc., 339 - 350 (2004).
• T. Watanabe, Fundamental Hermite constants of linear algebraic groups, J. Math. Soc. Japan 55, 1061 - 1080 (2003).
• T. Watanabe, The Hardy-Littlewood property of flag varieties, Nagoya Math. J. 170, 185 - 211 (2003).
• T. Watanabe, Hermite constants of division algebras, Monatshefte für Math. 135, 157 - 166 (2002).
• S. Ohno and T. Watanabe, Estimates of Hermite constants for algebraic number fields, Commentarii Mathematici Univ. Sancti Pauli 50, 53 - 63 (2001).
• M. Morishita and T. Watanabe, Adele geometry of numbers, Advanced Studies in Pure Math. 30, 509 - 536 (2001).
• S. Kimata and T. Watanabe, Adelic Minkowski's second theorem over a division algebra, Proc. Japan Acad. 76, 165 - 167 (2000).
• T. Watanabe, A comparison of automorphic L-functions in a theta series lifting of unitary groups, Israel J. Math. 116, 93 - 116 (2000).
• T. Watanabe, On an analog of Hermite's constant, J. Lie Theory 10, 33 - 52 (2000).
• T. Watanabe, Upper bounds of Hermite constants for orthogonal groups, Commentarii Mathematici Univ. Sancti Pauli 48, 25 - 33 (1999).
• M. Morishita and T. Watanabe, On S-Hardy-Littlewood homogeneous spaces, International J. Math. 9, 723 - 757 (1998).
• T. Watanabe, Some elementary properties of Hardy-Littlewood homogeneous spaces, Commentarii Mathematici Univ. Sancti Pauli 46, 3 - 14 (1997).
• M. Morishita and T. Watanabe, A note on the mean value theorem for special homogeneous spaces, Nagoya Math. J. 143, 111 - 117 (1996).
• T. Watanabe, Global theta liftings of general linear groups, J. Math. Sci. Univ. Tokyo 3, 699 - 711 (1996).
• T. Watanabe, The local theta correspondence of irreducible type 2 dual reductive pairs, Tohoku Math. J. 47, 521 - 540 (1995).
• T. Watanabe, The local theta correspondence for unramified unitary groups, Israel J. Math. 92, 397 - 410 (1995).
• T. Watanabe, Theta liftings for quasi-split unitary groups, Manuscripta Math. 82, 241 - 260 (1994).
• T. Watanabe, Theta lifting of cusp forms on the unitary group U(d,d), Duke Math. J. 67, 159 - 187 (1992).
• T. Watanabe, Residual automorphic representations of Sp(4), Nagoya Math. J. 127, 15 - 47 (1992).
• T. Watanabe, Euler factors attached to unramified principal series representations, Tohoku Math. J. 40, 491 - 534 (1988).
• T. Watanabe, The irreducible decomposition of the unramified principal series, Proc. Japan Acad. 63, 272 - 274 (1987).
• T. Watanabe, Hypercuspidality of automorphic cuspidal representations of the unitary group U(2,2), Tohoku Math. J. 39, 259 - 279 (1987).

講究録など

• 寺尾寿のノートと稀覯書, (with 六車 彩都子), 天文月報 Vol.116 No.3 日本天文学会 (2023) 116 - 121. (link)
• 佐武図形と半単純代数群の分類, 数学セミナー Vol.54 No.12_650 日本評論社 (2015) 16 - 18.
• Severi-Brauer多様体上のMinkowski第２定理, 京都大学数理解析研究所講究録 1512 (2006) 134 - 147.
• On the best bound of the minimal twisted height of linear subspaces, The Proceedings of Second COE Workshop on Sphere Packings, Kyushu Univ. (2005) 248 - 255.
• Hermite's constant and rational points on flag varieties, 京都大学数理解析研究所講究録 1319 (2003) 211 - 219.
• 「二次形式の理論(前編) 佐武一郎 述, 浅枝陽 記 東京大学数理科学セミナリーノート 21 (2002), 同(後編) 22 (2003)」の補遺.
• The Hardy--Littlewood property of flag varieties, in ``Explicit Structures of Modular Forms and Zeta Functions", Proc. of Japanese-German Seminar (2002) 167 - 171.
• 線型代数群の基本Hermite定数, 京都大学数理解析研究所講究録 1281 (2002) 227 - 234.
• 単連結単純群のmass formula, 第３回整数論オータムワークショップ報告集 (2001) 25 - 44.
• A survey on generalized Hermite constants, 京都大学数理解析研究所講究録 1200 (2001) 65 - 70.
• 代数群の分類, 第７回整数論サマースクール報告集 (2000) 142 - 211.
• Bump, Friedberg, Hoffstein's work on nonvanishing theorems for L-functions, 第１回整数論オータムワークショップ報告集 (1999) 182 - 209.
• On S-Hardy-Littlewood homogeneous spaces, (with M. Morishita), 第３回津田塾大学整数論シンポジウム, 津田塾大学 数学計算機科学研究所 研究所報15 (1998) 108 - 115.
• S-Hardy-Littlewood homogeneous spaces and its application, (with M. Morishita), 京都大学数理解析研究所講究録 1052 (1998) 1 - 9.
• 局所Howe予想の証明(p-進体の場合), 第４回整数論サマースクール報告集 (1996) 169 - 183
• Gross-Prasad予想の紹介, 京都大学数理解析研究所講究録 965 (1996) 207 - 215.
• ユニタリ群の保型L-関数とテータ級数リフト, 京都大学数理解析研究所講究録 909 (1995) 169 - 176.
• A remark on the Gel'fand-Kazhdan theory of p-adic groups, ｢複雑系解明への理論的及び実験的研究｣ 平成４年度文部省科学研究費特定研究報告書 (1993) 72 - 78
• Rankin-Selberg convolutions for U(n,n+1),京都大学数理解析研究所講究録 843 (1993) 72 - 78.
• Theta liftings of cusp forms on the unitary groups U(d,d), 京都大学数理解析研究所講究録 805 (1992) 101 - 105.
• Rankin-Selberg convolutions (I), 京都大学数理解析研究所講究録 792 (1992) 134 - 143.
• Algebraic automorphic representations, 京都大学数理解析研究所講究録 727 (1990) 174 - 183.
• Reisdual Eisenstein series of degree two, 京都大学数理解析研究所講究録 689 (1989) 64 - 71.
• 不分岐主系列表現のある既約成分に付随したL-factor, 京都大学数理解析研究所講究録 617 (1987) 89 - 102.
• On automorphic representations of U(2,2), 京都大学数理解析研究所講究録 583 (1986) 1 - 11.