u‹`ƒm[ƒg (Lecture Notes)

• ƒfƒBƒIƒtƒ@ƒ“ƒgƒX‹ίŽ—‚ΖSturmŒκ pdf
• —L—”‘̏γ‚ΜŽlŒ³”ŠΒ pdf
• •„†—˜_“ό–ε pdf
• ‘㐔‘Μ‚ΜArakelov—ήŒQ pdf
• ’†S“I’Pƒ‘½Œ³ŠΒ pdf
• ‘Ώ̐Ž‘Μ‚ΖJordan‘㐔 pdf
• ‘㐔ŒQ‚Μ•ͺ—ή pdf

u‰‰ƒXƒ‰ƒCƒh(Lecture Slide)

• SturmŒκ‚Μ”½•œŽw”‚Μ‹σŒ„ pdf
• ²•}Œ`‚Ζ”Ό’Pƒ‘㐔ŒQ‚Μ•ͺ—ή pdf
• GL(n)‚Μ”ρόŒ`“IŠΘ–ρ—˜_: Šξ–{—Μˆζ‚̍\¬ƒŒƒVƒs pdf
• Maximal compact subgroups of Sp₄(k) and GSp₄(k) pdf
• On Voronoi's theorem and related problems pdf
• ‘㐔‘Μ‚Μ”ν–ρArakelovˆφŽq‚ΜŒΒ”‚Μ•]‰Ώ pdf

²•ˆκ˜YζΆŽ©•Mu‹`ƒm[ƒg(Ichiro Satake's Lecture Note)

• Quadratic Forms, Lecture at University of Tokyo, 1961 - 1962 pdf

Pari/GP, Mathematica, etc programs

• Mathematica function to computing minimal 2-tuples of a positive definite real symmetric matrices: min2tuplemodule.txt
• Pari/GP program computing data1 and data2 in min2tuplemodule: mintuple.gp
• Mathematica function to computing minimal 3-tuples of a positive definite real symmetric matrices: min3tuplemodule.txt
• Pari/GP program computing data1,data2, data3 in min3tuplemodule: min3tuple.gp
• Mathematica function to computing the number of equivalence classes of minimal 4-tuples of a positive definite real symmetric matrices: min4tuplemodule.txt
• Pari/GP program computing data1,data2, data3, data4 in min4tuplemodule: min4tuple.gp