Analytic Number Theory and Related Areas

Date: Nov.29- Dec.3 (1999)
Place: Research Institute for Mathematical Science (RIMS),
Kyoto Univ. 4F Room 420

Organized by Kohji Matsumoto (Nagoya Univ.)

Japanese Version

Program


Monday Nov. 29

10:30-10:35 Opening

10:35-11:15 S. Egami (Toyama Univ.)

Some identities associated to weighted mean values of Dirichlet series

11:20-12:00 M. Nagata (Kyoto Univ., RIMS)

Recent results on G-functions

14:00-14:40 M. Amou (Gumma Univ.), M. Katsurada (Keio Univ.)

On the values of certain q-hypergeometric series

14:45-15:15 Y. Kamiya (Nagoya Univ.)

Certain mean values and non-vanishing of automorphic L-functions with large level

15:20-15:50 H. Ishikawa (Niigata Univ.)

On a sum related to a multiple L-function

16:10-16:40 T. P. Peneva (Tsukuba Univ.)

On the exceptional set in Goldbach's problem

16:45-17:35 J. Tamura

Certain tilings and words of higher dimension, and their non-periodicity


Tuesday Nov. 30

9:30-10:20 Y. Kitaoka (Nagoya Univ.)

On the distribution of units of real quadratic fields

10:25-11:15 C. Jia (Academia Sinica)

The application of the combination of circle method and sieve method

11:20-12:00 S. Yasutomi (Suzuka Coll. Tech.)

Dynamical representations of substituted Sturmian sequences

14:00-14:30 I. Wakabayashi (Seikei Univ.)

On a family of cubic Thue inequalities

14:35-15:05 H. Mikawa (Tsukuba Univ.)

On the least prime in an arithmetic progression

15:10-15:40 K. Goto (Tottori Univ.), Y. Ohkubo (Kagoshima Econ. Univ.)

Discrepancy of some special sequences

16:00-16:30 M. Yoshimoto (Kyushu Univ.)

Zeta-regularization and Kronecker's limit formulas

16:35-17:05 Y. Ichihara (Nagoya Univ.)

The evaluation of the sum over arithmetic progressions for the coefficients of the Rankin-Selberg series

17:10-17:40 H. Misho (Nagoya Univ.)

Universality of L-functions with characters of ideal class groups


Wednesday Dec. 1

9:30-10:20 J. Brüdern (Universität Stuttgart)

Multiplicative sequences, binary additive problems, and the Bateman-Horn conjecture

10:25-11:15 K. Nishioka (Keio Univ.)

A vanishing theorem for Mahler functions

11:20-12:10 W. Zhang (Northwest Univ.)

On the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums



Thursday Dec. 2

9:30-10:20 Y. Motohashi (Nihon Univ.)

From Hecke to Riemann via spherical harmonics

10:25-11:15 A. Sankaranarayanan (Tata Institute of Fundamental Research)

On the estimation of twisted exponential sum related to certain arithmetic functions

11:20-12:00 T. Komatsu (Mie Univ.)

On inhomogeneous Diophantine approximation and the Borweins' algorithm

14:00-14:40 R. Okazaki (Doshisha Univ.)

On a gap principle for exponential Diophantine equation

14:45-15:15 N. Murabayashi (Yamagata Univ.), A. Umegaki(Waseda Univ.)

Determination of all Q-rational CM-points in the moduli space of principally polarized abelian surfaces

15:20-15:40 T. Kano (Yamagata Univ.)

Properties of Iwaniec's q-functions

16:00-16:30 Y. Sano (Tsuda Univ.), S. Ito (Tsuda Univ.)

On periodic b-expansions of Pisot numbers and Rauzy fractals

16:35-17:05 T. Toshimitsu (Keio Univ.)

Algebraic solutions of a certain type of functional equations

17:10-17:40 H. Kumagai (Kinki Univ.)

Rapidly convergent series expressions for the zeta- and L-values


Friday Dec. 3

9:30-10:20 S. Louboutin (Université de Caen)

Bounds for |L(1,c) | and Res s = 1 (zK)

10:25-11:15 K. Kawada (Iwate Univ.)

Topics in Waring's problem for fourth powers II

11:20-12:00 N. Terai (Ashikaga Tech. Univ.)

On the Diophantine equations on binomial coefficients

14:00-14:40 S. Akiyama (Niigata Univ.)

On the tiling generated by quadratic canonical number system

14:45-15:15 T. Harase (Tottori Univ.)

A remark on the transcendency and the rationality of formal power series over finite fields

15:20-15:50 T. Hibino (Waseda Univ.), M. Kan (Ochanomizu Univ.)

q-congruent numbers and modular parametrizations

15:55-16:25 K. Matsumoto (Nagoya Univ.)

Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series



Any corrections or comments should be sent to akiyama@math.sc.niigata-u.ac.jp