谷口 隆

English version

お知らせ

• 研究集会 Mini-workshop on arithmetic geometry and related topics (4月9日-11日, 京都大学) を開催します．

プレプリント

• [pdf](Dec, 2011) Orbital L-functions for the space of binary cubic forms, (with F. Thorne), arXiv:1112.5030, submitted.
• [pdf](Feb, 2011) Secondary terms in counting functions for cubic fields, (with F. Thorne), arXiv:1102.2914, submitted.
• [pdf](Apr, 2011) Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms II, (with Y. Ohno), arXiv:1112.5029, submitted.
• [pdf](Aug, 2006) Distributions of discriminants of cubic algebras II, math.NT/0608658.
• [pdf](Mar, 2006) Distributions of discriminants of cubic algebras, math.NT/0606109.

出版論文

• [pdf] 高次合成則入門 (概説論文), 数理解析研究所講究録別冊, B25(2011), 211-254.
• Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms, Amer. J. Math. 131-6(2009), 1525-1541 (with Y. Ohno and S. Wakatsuki).
• On parameterizations of rational orbits of forms of some prehomogeneous vector spaces, Manuscripta Math. 125-2(2008), 169-190.
• A mean value theorem for the square of class number times regulator of quadratic extensions, Ann. Inst. Fourier. 58-2(2008), 625-670.
• On proportional constants of the mean value of class numbers of quadratic extensions, Trans. Amer. Math. Soc., 359-11(2007), 5517-5524.
• On the zeta functions of prehomogeneous vector spaces for a pair of simple algebras, Ann. Inst. Fourier. 57-4(2007), 1331-1358.
• A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field, J. Number Theory, 109-2(2004), 197-239.

その他

• ブログ：びっくり数学島
• 神戸大学サイエンスセミナー「整数と素数の不思議な世界」(2009年7月26日) 配布資料.

講演

• May 23, 2012. 整数論と密度定理, in 神戸大学数学教室談話会, at 神戸大学.
• May 19, 2012. 算術級数中の3次体の判別式, in 月例セミナー・保型形式の整数論, at 東京大学.
• May 11, 2012. 算術級数中の3次体の判別式, in 整数論&保型形式セミナー, at 大阪大学.

• April 9, 2012. Counting cubic fields and L-functions for the space of binary cubic forms, in Workshop on arithmetic geometry and related topics, at Kyoto University.
• February 8, 2012. Counting cubic fields and L-functions for the space of binary cubic forms, in Athens-Atlanta Number Theory Seminar, at University of Georgia.
• February 7, 2012. Counting cubic fields and L-functions for the space of binary cubic forms, in Number Theory Seminar, at University of South Carolina.
• December 1, 2011. A second main term for counting cubic fields, and biases in arithmetic progressions, in Princeton University / IAS Number Theory Seminar, at IAS.
• July 20, 2011. Secondary terms in counting functions for cubic fields, Explicit methods in number theory, at MFO, Oberwolfach.
• March 29, 2011. Secondary terms in counting functions for cubic fields, in Number Theory Seminar, at Rutgers University.

開催に関わった研究集会

• 数論幾何とその周辺, at 京都大学 (April 9-11, 2012).
• 神戸整数論集会, at 神戸大学 (January 13-15, 2010).
• 愛媛整数論集会, at 愛媛大学 (February 17-20, 2009).

（興味のある）研究集会

• 2013年4月15日-19日. Combinatorics, Multiple Dirichlet series and Analytic Number Theory , at ICERM, Providence.
• 2011年7月17日-23日. Explicit methods in number theory, at MFO, Oberwolfach.
• 2011年6月13日-17日. The Cohen-Lenstra heuristics for class groups, at AIM, Palo Alto, California.
• 2011年1月31日-2月4日. Introductory Workshop: Arithmetic Statistics at MSRI, Berkeley.
• 2010年6月2日-5日. Number Theory and Representation Theory, at Harvard University.
• 2010年5月3日-7日. Second international workshop on zeta functions in algebra and geometry; dedicated to the Memory of Fritz Grunewald,
• 2009年12月7日-11日. 代数的整数論とその周辺.
• 2009年11月24日-27日. Workshop on Arithmetic Geometry in Kanazawa.
• 2009年9月14日-17日. Geometry and Analysis of Automorphic Forms of Several Variables.
• 2009年8月17日-21日. 第１７回（２００９年度）整数論サマースクール 「l進ガロア表現とガロア変形の整数論」.