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No.1806
解析的整数論 - 数論的関数の多重性に関連して
Analytic Number Theory - related Multiple aspects of Arithmetic Functions
RIMS 研究集会報告集
 
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
    U. 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
    Kasetsart U./ / 弘前大学理工学研究科 / Kasetsart U.   Ruengsinsub Pattira / / 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 U.   Kacinskaite,Roma
 
10. Some Notes on the Signs of Kloosterman Sums (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)---------94
    City U. New York    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 / Adam Mickiewicz U.   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
    U. 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
    東京工業大学理工学研究科   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 )