Analytic Number Theory and Surrounding Areas Analytic Number Theory and Surrounding Areas

Date : 18-22 October, 2004
Place : Research Institute of Mathematical Science (RIMS), Kyoto, JAPAN
Organizer : Masaaki Amou (Gunma Univ.)

PROGRAM (DVI file)
Japanese Version


Monday 18 October


13:25 - 13:30 Opening
13:30 - 14:20 Shigeki Akiyama (Niigata Univ.)
3/2 number system and Mahler's problem
14:30 - 15:00 Taka-aki Tanaka (Keio Univ.)
Algebraic independence of the values of a certain function at distinct algebraic points
15:10 - 15:40 Yohei Tachiya (Keio Univ.)
Transcendence of certain infinite products
16:00 - 16:30 Masahiro Asano (Nagoya Univ.)
A generalization of the reciprocity law of multiple Dedekind sums
16:40 - 17:20 Masatoshi Suzuki (Nagoya Univ.)
The Riemann Hypothesis for certain integrals of Eisenstein series


Tuesday 19 October


 9:00 - 9:50 Jianya Liu (Shandong Univ.)
Bounds for automorphic L-functions
10:00 - 10:50 Kohji Matsumoto (Nagoya Univ.)
The discrete universality of automorphic L-functions
11:00 - 11:50 Winfried Kohnen (Univ. Heidelberg)
On q-product expansions of certain modular functions
13:30 - 14:00 Yuichi Kamiya
The Beurling spectrum of certain zeta-functions
14:10 - 14:40 Yumiko Ichihara (Hiroshima Univ.)
On the Siegel-Tatuzawa theorem for a class of L-functions
15:00 - 15:50 Clemens Heuberger (Technische Univ. Graz)
Parametrized Families of Relative Thue Equations
16:00 - 16:50 Ryotaro Okazaki (Doshisha Univ.)
Simultaneous Pell Equation of Indefinite Signature
17:00 - 17:50 Noriko Hirata-Kohno (Nihon Univ.)
S-unit Equations and Integer Solutions to Exponential Diophantine Equations



Wednesday 20 October


 9:30 - 10:30 Alf van der Poorten (Macquarie Univ.)
Elliptic Sequences and Continued Fractions
10:45 - 11:45 Tanguy Rivoal (Univ. Caen)
Hypergeometry and the Riemann zeta function
Afternoon Free Time

Thursday 21 October


 9:00 - 10:00 Imre Kátai (Eötvös Loránd Univ.)
Distribution of arithmetical functions on some subsets of integers
10:10 - 11:00 Francesco Pappalardi (Univ. degli Studi Roma Tre)
Values of the Carmichael function versus values of the Euler function
11:10 - 11:40 Temenoujka Peneva (Plovdiv Univ., Tsukuba Univ.)
Hiroshi Mikawa (Tsukuba Univ.)
A variant of Bombieri-Vinogradov theorem
13:30 - 14:00 Koichi Kawada (Iwate Univ.)
On treatment of minor arc integrals in applications of the circle method
14:10 - 15:00 Alain Lasjaunias (Univ. Bordeaux I)
Diophantine Approximation in Positive Characteristic
15:10 - 15:40 Takao Komatsu (Hirosaki Univ.)
Rational approximations to Tasoev type continued fractions
15:50 - 16:20 Rie Natsui (Keio Univ.)
On the arithmetic distributions of simultaneous approximation convergents
arising from Jacobi-Perron algorithm
16:30 - 17:20 Jun-ichi Tamura
Hankel determinants and substitutions
18:00 - 20:00 Reception at Kyodai Kaikan

Friday 22 October


9:30 - 10:20 Kalyan Chakraborty (Harish-Chandra Research Inst.)
On the divisibility of class numbers of real quadratic fields
10:30 - 11:30 Junjiro Noguchi (Tokyo Univ.)
Recent results on Analogue in Nevanlinna Theory and Diophantine Approximation
13:30 - 14:00 Masami Fujimori (Kanagawa Inst. Tech.)
On the defining group of a category of systems of linear inequalities
14:10 - 14:40 Masami Yoshimoto (Nagoya Univ.)
On the functional equation of the Barnes multiple zeta-function
14:50 - 15:20 Masanori Katsurada (Keio Univ.)
Complete asymptotic expansions associated with Epstein zeta-functions

Past RIMS Conferences on Analytic Number Theory

2003 2002 2001 2000 1999 1998 1997

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Let me know if any corrections: akiyama@math.sc.niigata-u.ac.jp