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RIMS Kôkyûroku
No.2014
解析的整数論とその周辺
Analytic Number Theory and Related Areas
RIMS 研究集会報告集
 
2015/11/04〜2015/11/06
神谷 諭一
Yuichi Kamiya
 
目 次
 
1. 素数および概素数のギャップについて (解析的整数論とその周辺)-----------------------------------------------------------------------1
    城西大学理学部   宗野 惠樹 (Sono,Keiju)
 
2. Arithmetical properties of the values of power series (Analytic Number Theory and Related Areas)---------------------------------11
    筑波大学数理物質系   金子 元 (Kaneko,Hajime)
 
3. Several generalizations and applications of incomplete poly-Bernoulli polynomials and incomplete poly-Cauchy polynomials (Analytic Number Theory and Related Areas)---20
    School of Mathematics and Statistics, Wuhan University   小松 尚夫 (Komatsu,Takao)
 
4. ASYMPTOTIC EXPANSIONS FOR THE LAPLACE-MELLIN AND RIEMANN-LIOUVILLE TRANSFORMS OF LERCH ZETA-FUNCTIONS : PRE-ANNOUNCEMENT VERSION (Analytic Number Theory and Related Areas)---35
    慶應義塾大学経済学部数学教室   桂田 昌紀 (Katsurada,Masanori)
 
5. NOTES ON LOW DEGREE $L$-DATA (Analytic Number Theory and Related Areas)----------------------------------------------------------48
    Heilbronn Institute for Mathematical Research, University of Bristol   Oliver,Thomas
 
6. Diophantine exponents for formal power series over a finite field (Analytic Number Theory and Related Areas)---------------------59
    筑波大学数理物質科学研究科数学専攻   大音 智弘 (Ooto,Tomohiro)
 
7. A mean value on the sum of two primes in arithmetic progressions (Analytic Number Theory and Related Areas)----------------------67
    名古屋大学多元数理科学研究科   鈴木 雄太 (Suzuki,Yuta)
 
8. Transformations of a series in function fields (Analytic Number Theory and Related Areas)----------------------------------------79
    岡山理科大学理学部   浜畑 芳紀 (Hamahata,Yoshinori)
 
9. ZEROS OF THE $L$-FUNCTION ATTACHED TO A CUSP FORM AND SOME APPLICATIONS OF SELBERG'S ORTHOGONALITY (Analytic Number Theory and Related Areas)---86
    群馬大学理工学部   名越 弘文 (Nagoshi,Hirofumi)
 
10. Sum-product estimates for self similar subsets of $\mathbb{Z}$ and Fractal zeta functions (Analytic Number Theory and Related Areas)---96
    Univ. Lyon, UJM-Saint-Etienne・CNRS, Institut Cammille Jordan UMR5208, Faculte des Sciences et Techniques / U. Rochester   Essouabri,Driss / Lichtin,Ben
 
11. Diophantus の3組の4組への拡張可能性 (解析的整数論とその周辺)-------------------------------------------------------------------111
    日本大学生産工学部 / 群馬大学大学院理工学府   藤田 育嗣 / 宮崎 隆史 (Fujita,Yasutsugu / Miyazaki,Takafumi)
 
12. A wishlist for Diophantine quintuples (Analytic Number Theory and Related Areas)-----------------------------------------------124
    Mathematical Sciences Institute, The Australian National University   Trudgian,Tim
 
13. Cutting Pascal's triangle modulo a prime by a straight line (Analytic Number Theory and Related Areas)-------------------------132
    名古屋大学多元数理科学研究科   一階 智弘 (Ikkai,Tomohiro)
 
14. Linear independence results for the values of divisor functions series (Analytic Number Theory and Related Areas)--------------138
    School of Mathematics, University of the Witwatersrand / 弘前大学理工学研究科   Luca Florian / 立谷 洋平 (Luca,Florian / Tachiya,Yohei)
 
15. Asymptotics of $L$-functions (Analytic Number Theory and Related Areas)--------------------------------------------------------151
    Laboratoire Paul Painleve LABEX-CEMPI, Universite Lille 1   Bhowmik,Gautami
 
16. The mean values of the Dirichlet $L$-functions (Analytic Number Theory and Related Areas)--------------------------------------155
    日本工業大学共通教育系 / 名古屋大学多元数理科学研究科   岡本 卓也 / 小野塚 友一 (Okamoto,Takuya / Onozuka,Tomokazu)
 
17. Some recent developments at the intersection of Diophantine approximation, analytic number theory, and irregularities of distributions (Analytic Number Theory and Related Areas)---161
    Department of Financial Mathematics and Applied Number Theory, U. Linz / Department of Financial Mathematics and Applied Number Theory, U. Linz / Department of Financial Mathematics and Applied Number Theory, U. Linz    Aistleitner,Christoph / Hofer,Roswitha / Larcher,Gerhard
 
18. 多重ゼータ値に対するパラメータを持つ重みつき和公式 (解析的整数論とその周辺)----------------------------------------------------173
    名古屋大学大学院多元数理科学研究科   門田 慎也 (Kadota,Shin-ya)
 
19. 二重ゼータ関数の特徴付け (解析的整数論とその周辺)------------------------------------------------------------------------------184
    芝浦工業大学工学部 / 名古屋大学多元数理科学研究科   池田 創一 / 松岡 謙晶 (Ikeda,Soichi / Matsuoka,Kaneaki)