No.1590

2007/10/15〜2007/10/16

杉田　洋

Hiroshi Sugita

目　次

1. A probabilistic approach to special values of the Riemann zeta function (Number Theory and Probability Theory)--------------------1

　　　　一橋大学商学研究科　　　藤田 岳彦　(Fujita, Takahiko)

　

2. LIL for discrepancies of ${\theta^nx}$ : a graphical sketch (Number Theory and Probability Theory)-------------------------------10

　　　　神戸大学理学研究科　　　福山 克司　(FUKUYAMA, Katusi)

　

3. Some density functions and their Fourier transforms arising from number theory (Number Theory and Probability Theory)------------28

　　　　京都大学名誉教授　　　伊原 康隆　(Ihara, Yasutaka)

　

4. Characteristic polynomial averages of a random matrix from compact symmetric spaces (Number Theory and Probability Theory)-------43

　　　　九州大学数理学府　　　松本 詔　(Matsumoto, Sho)

　

5. Universality for Dirichlet $L$-functions and Lerch zeta-functions (Number Theory and Probability Theory)-------------------------68

　　　　名古屋大学多元数理科学研究科　　　中村 隆　(Nakamura, Takashi)

　

6. Variance of randomized values of Riemann's zeta function on the critical line (Number Theory and Probability Theory)-------------86

　　　　九州大学数理学研究院　　　白井 朋之　(SHIRAI, Tomoyuki)

　

7. Generalization and randomization of some number-theoretic special functions (Number Theory and Probability Theory)---------------97

　　　　大阪大学理学研究科　　　杉田 洋　(SUGITA, Hiroshi)

　

8. Markov processes on the adeles (Number Theory and Probability Theory)-----------------------------------------------------------120

　　　　慶応義塾大学商学部　　　安田 公美　(Yasuda, Kumi)

　

9. Three Notes on Connections between the Riemann Zeta Function and Probability Theory, in particular : Random Matrix Theory (Number Theory and Probability Theory)---126

　　　　Laboratoire de Probabilites et Modeles Aleatoires, Universites Paris VI et VII　　　Yor, Marc

　

10. Some comments about notes A, B and C. (Number Theory and Probability Theory)---------------------------------------------------146

　　　　ENST　　　Bourgade, P.