New Aspects of Analytic Number Theory

New Aspects of Analytic Number Theory

Date : 26, November - 30, November (2001)
Place : Research Institute of Mathematical Science (RIMS)
Kyoto Univ. 4F, Room 420
Organizer : Yoshio Tanigawa (Nagoya Univ.)


PROGRAM

Japanese Version


Monday 26, Nov.

10:00-10:50Kohji Matsumoto (Nagoya Univ.)
Double gamma functions and certain real quadratic fields
11:00-11:50K. Srinivasa Rao (Institute of Mathematical Sciences, India)
Quantum theory of angular momentum, hypergeometric series and polynomial zeros
13:30-14:00Masami Fujimori (Kanagawa Inst. of Tech.)
On systems of linear inequalities
14:10-14:50Yasuo Ohno (Kinki Univ.)
On linear relations among multiple zeta values
15:20-15:50Susumu Sato (Univ. of Tokyo)
On Beukers integrals and their generalization
16:00-16:30Yumiko Ichihara (Nagoya Univ.)
An analogue of the Siegel-Tatuzawa theorem for Rankin-Selberg L-functions
16:40-17:20Koji Chinen (Osaka Inst. of Tech.), Leo Murata (Meiji Gakuin Univ.)
On a distribution property of the residual order of a (mod p), II


Tuesday 27, Nov.


9:30-10:20Junjiro Noguchi (Univ. of Tokyo)
Nevanlinna Theory and abc-Conjecture
10:30-11:20Carl Pomerance (Bell Laboratories, USA)
Primitive roots
11:40-12:20Noriko Hirata (Nihon Univ.)
Gap principle in Diophantine systems
14:00-14:30Makoto Nagata (Kyoto Univ.)
On Diophantine approximations related to G-functions
14:40-15:20Takao Komatsu (Mie Univ.)
Continued fraction expansions showing new regularity-Tasoev's continued fractions
15:40-16:10Ryuta Hashimoto (Nagoya Univ.)
Diophantine equation X3-(c3-1)Y3=N and continued fraction of 3Ö(c3-1)
16:20-16:50Tomoaki Kanoko (Keio Univ.)
Transcendence of certain reciprocal sums of linear recurrences
17:00-17:30Hirofumi Nagoshi (Kyoto Univ.)
Critical values of automorphic L-functions and a central limit theorem


Wednesday 28, Nov.


9:30-10:20Bruce C. Berndt (Univ. of Illinois, USA)
Ramanujan's work on Eisenstein series, especially in his lost notebook
10:30-11:20Yoichi Motohashi(Nihon Univ.)
Generalized Bessel Functions in the Representation Theory and Problems in Analytic Number Theory
11:30-12:20Georges Rhin (Université de Metz, France)
On irrationality measures of values of the zeta function at rational integers
AfternoonFree time


Thursday 29, Nov.


9:30-10:20Kálmán Györy (Univ. of Debrecen, Hungary)
On the number of solutions of decomposable polynomial equations
10:30-11:20Yoshiyuki Kitaoka (Meijo Univ.)
Distribution of units of algebraic number fields
11:40-12:20Shigeki Akiyama (Niigata Univ.)
Recent progress on classification of canonical number systems
14:00-14:30Kazushi Komatsu (Kochi Univ.)
On aperiodic tilings by the projection method
14:40-15:10Masaaki Amou (Gunma Univ.)
Linear independence of the values of q-hypergeometric series
15:30-16:00Yoshinori Mizuno (Osaka Univ.)
Rankin-Selberg convolution for Cohen type Eisenstein series
16:10-16:40Temenoujka Peneva (Tsukuba Univ.)
An additive problem with Piatetski-Shapiro primes and almost-primes
16:50-17:30Hiroshi Mikawa (Tsukuba Univ.)
Small values of ap (mod 1)

Reception at Shiran Kaikan 18:30-


Friday 30, Nov.


9:30-10:20Tarlok N. Shorey (Tata Institute Fundamental Research, India)
Powers in arithmetic progressions
10:30-11:20Winfried Kohnen (Universität Heidelberg, Germany)
On special values of the j-function and related modular functions
11:40-12:20Shigeki Egami (Toyama Univ.)
Diophantine Dirichlet series
14:00-14:30Koichi Kawada (Iwate Univ.)
On ternary additive problems in prime number theory, and related problems
14:40-15:10Zhai Wenguang (Shandong Teachers' Univ. -Nagoya Univ.)
On the simultaneous distribution of the fractional parts of different powers of prime numbers
15:20-15:50Masami Yoshimoto (Kyoto Univ.)
Madelung constants and Epstein zeta functions
16:00-16:30Yuichi Kamiya (Nagoya Univ.)
An approximation for certain Dirichlet sereis


2000 RIMS Conference
1999 RIMS Conference
1998 RIMS Conference
1997 RIMS Conference


Send any corrections or comments to akiyama@math.sc.niigata-u.ac.jp