RIMS Kôkyûroku

No.1806

2011/10/31〜2011/11/02

野田　工

Takumi Noda

目　次

1. The joint universality theorem for automorphic $L$-functions (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---1

　　　　宇部工業高等専門学校　　　見正 秀彦　(Mishou,Hidehiko)

　

2. Hoffman's basis conjecture and Two-one formula (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)-------10

　　　　近畿大学理工学部　　　大野 泰生　(Ohno,Yasuo)

　

3. Transformations of $L$-values (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)------------------------16

　　　　School of Mathematical and Physical Sciences, The University of Newcastle　　　Zudilin,Wadim

　

4. Double zeta functions constructed by absolute tensor products (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---22

　　　　九州大学大学院数理学研究院　　　赤塚 広隆　(Akatsuka,Hirotaka)

　

5. Multiple zeta values and zeta Mahler measures (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)--------37

　　　　近畿大学大学院総合理工学研究科　　　佐々木 義卓　(Sasaki,Yoshitaka)

　

6. Poly-Cauchy numbers (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)----------------------------------42

　　　　弘前大学大学院理工学研究科　　　小松 尚夫　(Komatsu,Takao)

　

7. Results about dependence and convolution (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)-------------54

　　　　Department of Mathematics, Faculty of Science, Kasetsart University / Department of Mathematics, Faculty of Science, Kasetsart University / 弘前大学理工学研究科 / Department of Mathematics, Faculty of Science, Kasetsart University　　　Ruengsinsub Pattira / Laohakosol Vichian / 小松 尚夫 / Srisopha Sunanta　(Ruengsinsub,Pattira / Laohakosol,Vichian / Komatsu,Takao / Srisopha,Sunanta)

　

8. On the transcendental degrees of the fields generated by special values of power series (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---65

　　　　日本大学理工学部　　　金子 元　(Kaneko,Hajime)

　

9. Joint universality of periodic zeta-functions : continuous and discrete cases (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---79

　　　　Siauliai University　　　Kacinskaite,Roma

　

10. Some Notes on the Signs of Kloosterman Sums (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---------94

　　　　DEPARTMENT OF MATHEMATICS, COLLEGE OF STATEN ISLAND　　　Pribitkin,Wladimir de Azevedo

　

11. COMPLETE ASYMPTOTIC EXPANSIONS ASSOCIATED WITH EPSTEIN ZETA-FUNCTIONS II (SUMMARIZED VERSION) (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---99

　　　　慶應義塾大学経済学部　　　桂田 昌紀　(KATSURADA,MASANORI)

　

12. Zeros of multiple zeta-functions (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)-------------------114

　　　　東京理科大学理工学部 / Faculty of Mathematics and Computer Science, Adam Mickiewicz University　　　中村 隆 / Pankowski Lukasz　(Nakamura,Takashi / Pankowski,Lukasz)

　

13. Higher moments of the Epstein zeta functions (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)-------123

　　　　東京大学数理科学研究科　　　宗野 恵樹　(Sono,Keiju)

　

14. Upper bounds for solutions of exponential Diophantine equations with applications to Fibonacci numbers (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---134

　　　　首都大学東京理工学研究科　　　宮崎 隆史　(Miyazaki,Takafumi)

　

15. Atkinson type explicit formula for a certain Dirichlet series and its application (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---143

　　　　長崎大学教育学部　　　石川 秀明　(Ishikawa,Hideaki)

　

16. Higher dimensional Dedekind sums in positive characteristic (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---156

　　　　立命館大学教育開発推進機構　　　浜畑 芳紀　(Hamahata,Yoshinori)

　

17. DEDEKIND SUMS AND VALUES OF $L$-FUNCTIONS AT POSITIVE INTEGERS (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---164

　　　　DEPARTEMENT DE MATHEMATIQUES, UNIVERSITE D'EVRY VAL D'ESSONNE　　　BAYAD,ABDELMEJID

　

18. 自己相反多項式と微分方程式の標準系 (解析的整数論 : 数論的関数の多重性に関連して)-----------------------------------------------176

　　　　東京工業大学大学院理工学研究科数学専攻　　　鈴木 正俊　(Suzuki,Masatosi)

　

19. Bilateral zeta functions and their applications (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)----186

　　　　九州大学数理学府　　　渋川 元樹　(Shibukawa,Genki)

　

20. 2重 Eisenstein 級数とその周辺 (解析的整数論 : 数論的関数の多重性に関連して)----------------------------------------------------200

　　　　九州大学数理学府　　　田坂 浩二　(Tasaka,Koji)

　

21. A transformation formula for Maass-type Eisenstein series of two variables (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---210

　　　　日本大学工学部　　　野田 工　(Noda,Takumi)