RIMS研究集会

解析的整数論 超越関数の数論的性質とその応用

Analytic Number Theory

― Arithmetic Properties of Transcendental Functions and their Applications

 

京都大学数理解析研究所の共同研究事業の一環として下記のように研究集会を開催

いたしますので,ご案内申し上げます

 

研究代表者  田中 孝明慶應義塾大学理工学部)

研究副代表者 名越 弘文(群馬大学・理工学研究院)

[ Organizers: Takaaki Tanaka (Keio Univ.), Hirofumi Nagoshi (Gunma Univ.)]

 

 

日時: 2013115117[ Period: November 5 - 7, 2013 ]

場所: 京都大学数理解析研究所4420号室 [ Location: Rm 420, RIMS (Kyoto Univ., Japan)]

京都市左京区北白川追分町, 市バス農学部前または北白川下車

 

プログラム

Program (PDF updated on October 23, Abstracts of the talks)

 

115[ Tuesday, November 5 ]

10:20 10:30  Opening

10:30 11:10  中村 隆東京理科大学[ Takashi Nakamura (Tokyo Univ. of Science)]

A modified Riemann zeta distribution in the critical strip

11:20 12:10  三柴 善範九州大学[ Yoshinori Mishiba (Kyushu Univ.)]

Algebraic independence of values of the Carlitz multiple polylogarithms

14:00 14:45  小川 裕之大阪大学[ Hiroyuki Ogawa (Osaka Univ.)]

How should we bet on the prime number dice?

15:00 16:00  吉田 英治津山工業高専[ Eiji Yoshida (Tsuyama College of Technology)]

Theta series and a trace of Selberg type

 

116[ Wednesday, November 6 ]

10:20 11:00  Vichian Laohakosol (Kasetsart University)

Independence of complex Cantor series and Cantor products

11:10 12:10  Federico Pellarin (Univ. of Saint-Etienne)

On L-series in positive characteristic

13:45 14:10  岡本 卓也立命館大学[ Takuya Okamoto (Ritsumeikan Univ.)]

Mean values of Mordell-Tornheim double zeta-functions (a joint work with

Tomokazu Onozuka (Nagoya Univ.))

14:20 15:10  金子 元日本大学学振PD[ Hajime Kaneko (JSPS Nihon Univ.)]

Algebraic independence of the power series related to the beta expansions of

real numbers

15:30 16:00  Tünde Lality-Kovács (Univ. of Debrecen, JSPS)

Computing S-integral points on elliptic curves of rank at least 3 (a joint work with

Noriko Hirata-Kohno (Nihon Univ.))

16:10 16:50  長尾 孝一関東学院大学[ Koh-ichi Nagao (Kanto Gakuin Univ.)]

Decomposition attack for the DLP of the Jacobian group of a curve over

small characteristic field

 

懇親会 [ Reception ]

 

117[ Thursday, November 7 ]

10:00 10:25  小野塚 友一名古屋大学[ Tomokazu Onozuka (Nagoya Univ.)]

The multiple Dirichlet product and the multiple Dirichlet series

10:35 11:25  谷口 隆神戸大学[ Takashi Taniguchi (Kobe Univ.)]

Cubic field discriminants in arithmetic progressions (a joint work with

Frank Thorne (Univ. of South Carolina))

11:35 12:20  鈴木 正俊東京工業大学[ Masatoshi Suzuki (Tokyo Inst. of Technology)]

An inverse problem for a class of canonical systems

14:00 14:25  池田 創一名古屋大学[ Soichi Ikeda (Nagoya Univ.)]

Mean values of Euler double zeta-functions (a joint work with Kaneaki Matsuoka

(Nagoya Univ.) and Yoshikazu Nagata (Nagoya Univ.))

14:35 15:05  桂田 昌紀慶應義塾大学[ Masanori Katsurada (Keio Univ.)]

Asymptotic expansions for certain multiple q-integrals and q-differentials of

Thmae-Jackson type

 

15:25 15:55  小松 尚夫弘前大学[ Takao Komatsu (Hirosaki Univ.)]

Convolution identities for Cauchy numbers

16:05 16:35  平田 典子日本大学[ Noriko Hirata-Kohno (Nihon Univ.)]

Diophantine approximations related to Polylogarithms

16:35 16:45  Closing

 

以上