No.1319

2002/10/21～2002/10/25

平田　典子

Noriko　Hirata-Kohno

目　次

1. Zeta Functions of Higher Order and Their Applications (Diophantine Problems and Analytic Number Theory)---------------------------1

　　　　東京工業大学理工学部/慶応大学理工学部　　　黒川信重/小山信也　(Kurokawa, Nobushige/Koyama, Shin-ya)

2. HEIGHT FUNCTIONS OVER FUNCTION FIELDS (Diophantine Problems and Analytic Number Theory)------------------------------------------14

　　　　京都大学理学部　　　森脇淳　(Moriwaki, Atsushi)

3. HEIGHT INEQUALITY FOR CURVES OVER FUNCTION FIELDS (Diophantine Problems and Analytic Number Theory)------------------------------24

　　　　京都大学数理解析研究所　　　山ノ井克俊　(Yamanoi, Katsutoshi)

4. Asymptotic expansions of the non-holomorphic Eisenstein series (Diophantine Problems and Analytic Number Theory)-----------------29

　　　　日本大学工学部　　　野田工　(Noda, Takumi)

5. A Remark on Inhomogeneous Diophantine Approximation (Diophantine Problems and Analytic Number Theory)----------------------------33

　　　　鈴鹿工業高等専門学校　　　安富真一　(Yasutomi, Shin-ichi)

6. An inductive method for proving the transcendence of certain power series (Diophantine Problems and Analytic Number Theory)------40

　　　　/慶応大学経済学部　　　/西岡久美子　(Duverney, Daniel/Nishioka, Kumiko)

7. RECIPES FOR TERNARY DIOPHANTINE EQUATIONS OF SIGNATURE ($p, p, k$) (Diophantine Problems and Analytic Number Theory)-------------51

　　　　Department of Mathematics, University of British Columbia　　　Bennett, Michael A.

8. 楕円曲線の導手の体拡大による変化について (ディオファントス問題と解析的整数論)----------------------------------------------------56

　　　　電気通信大学　　　木田雅成　(Kida, Masanari)

9. Constructing topological groups through unit equations (Diophantine Problems and Analytic Number Theory)-------------------------61

　　　　東京女子大学文理学部　　　東川雅志　(Higasikawa, Masai)

10. EXPLICIT FORMULAS OF PRINCIPAL SERIES WHITTAKER FUNCTIONS ON $Sp$(2, R) (Diophantine Problems and Analytic Number Theory)-------66

　　　　東京大学数理科学研究科　　　石井卓　(Ishii, Taku)

11. On mean values of error terms related with lattice points in hyperbolic domains (Diophantine Problems and Analytic Number Theory)---75

　　　　名古屋大学多元数理科学研究科　　　古屋淳　(Furuya, Jun)

12. ARITHMETIC PROPERTIES OF THE LEAPING CONVERGENTS OF $e^{1/s}$ (Diophantine Problems and Analytic Number Theory)-----------------85

　　　　三重大学教育学部　　　小松尚夫　(Komatsu, Takao)

13. RECENT DEVELOPMENTS IN DIOPHANTINE APPROXIMATION (Diophantine Problems and Analytic Number Theory)------------------------------95

　　　　University of Colorado　　　Schmidt, Wolfgang M.

14. A Vista of Mean Zeta-Values (Diophantine Problems and Analytic Number Theory)--------------------------------------------------113

　　　　日本大学理工学部　　　本橋洋一　(Motohashi, Yoichi)

15. On sums of cubes of almost primes (Diophantine Problems and Analytic Number Theory)--------------------------------------------125

　　　　岩手大学教育学部　　　川田浩一　(Kawada, Koichi)

16. Algebraic Solutions of the Lame Equation (Diophantine Problems and Analytic Number Theory)-------------------------------------131

　　　　Univ. of Utrecht/Univ. of Utrecht　　　Beukers, Frits/Waall, H.A. van der

17. On a distribution property of the residual order of $a$(mod $p$) (?) (Diophantine Problems and Analytic Number Theory)---------139

　　　　明治学院大学経済学部/大阪工業大学工学部　　　村田玲音/知念宏司　(Murata, Leo/Chinen, Koji)

18. 四次Pisotタイルの連結性による分類 (ディオファントス問題と解析的整数論)---------------------------------------------------------148

　　　　新潟大学理学部　　　秋山茂樹　(Akiyama, Shigeki/Gjini, Nertila)

19. ON PRIME-INDEPENDENT MULTIPLICATIVE FUNCTIONS (Diophantine Problems and Analytic Number Theory)--------------------------------154

　　　　Department of Mathematics, Shandong Normal University　　　Zhai, Wenguang

20. Arithmetical properties of solutions of certain $q$-difference equations (Diophantine Problems and Analytic Number Theory)-----164

　　　　群馬大学工学部　　　天羽雅昭　(Amou, Masaaki)

21. The product of like-indexed terms in binary recurrences (Diophantine Problems and Analytic Number Theory)----------------------168

　　　　Instituto de Matematicas UNAM, Campus Morelia/Department of Mathematics, University of Ottawa　　　Luca, F./Walsh, P.G.

22. $L$-functions attached to non-holomorphic Siegel modular forms of degree (2) (Diophantine Problems and Analytic Number Theory)---174

　　　　東京大学数理科学研究科　　　森山知則　(Moriyama, Tomonori)

23. Calculation of Selmer groups of elliptic curves with a rational 2-torsion (Diophantine Problems and Analytic Number Theory)----183

　　　　九州大学数理学府　　　後藤丈志　(Goto, Takeshi)

24. THE DISTRIBUTION OF CLASS NUMBERS OF PURE NUMBER FIELDS (Diophantine Problems and Analytic Number Theory)----------------------193

　　　　Mathematisches Institut, Albert-Ludwigs-Universitat　　　Peter, Manfred

25. Mordell-Tornheim型の多重ゼ-タ関数について (ディオファントス問題と解析的整数論)-------------------------------------------------198

　　　　名古屋大学多元数理科学研究科　　　松本耕二　(Matsumoto, Kohji)

26. Vojta's method in diophantine geometry, applications and related topics (Diophantine Problems and Analytic Number Theory)------202

　　　　Institut Fourier　　　Remond, Gael

27. HERMITE'S CONSTANT AND RATIONAL POINTS OF FLAG VARIETIES (Diophantine Problems and Analytic Number Theory)---------------------211

　　　　大阪大学理学部　　　渡部隆夫　(Watanabe, Takao)

28. The Representation of Unity by Quartic Forms (Diophantine Problems and Analytic Number Theory)---------------------------------220

　　　　同志社大学工学部　　　岡崎龍太郎　(Okazaki, Ryotaro)

29. Diophantine approximation of values of Gauss' hypergeometric function (Diophantine Problems and Analytic Number Theory)--------230

　　　　日本大学理工学部　　　平田典子　(Hirata-Kohno, Noriko/Huttner, Marc)