Analytic Number Theory-Expectations for the 21st Century

Analytic Number Theory - Expectations for the 21st Century

Date: 23 Oct.- 27 Oct. (2000)

Place: Research Institute for Mathematical Science (RIMS),
Kyoto Univ. 4F Room 420

Organized by Isao Wakabayashi (Seikei Univ.) and Leo Murata (Meiji Gakuin Univ.)

Japanese Version


PROGRAM


Monday 23 Oct.

13:25-13:30Opening
13:30-14:30Yasuo Morita (Tohoku Univ.)
An introduction to the theory of Diophantine equations
14:40-15:40Yann Bugeaud (Strasbourg 1st Univ.)
On the Diophantine equation (xn-1)/ (x-1) = yq
16:00-17:00Shunji Ito (Tsuda College)
Cubic Pisot b-expansions and Thurston-Akiyama Tilings
17:10-17:40Masanori Katsurada (Keio Univ.)
Specific values of derivatives of Hurwitz zeta-functions


Tuesday 24 Oct.

9:30-10:30Kohji Matsumoto (Nagoya Univ.)
A survey on the divisor problem and the problem on the mean square of the Riemann zeta-function
10:45-11:45P.D.T.A. Elliott (Colorado Univ.)
Probabilistic Number Theory and its Ramifications
13:30-14:30Tsuneo Arakawa (Rikkyo Univ.)
Selberg trace formula for SL(2,R) and dimensions of certain spaces of cusp forms with small weights
14:40-15:30Shoiti Ninomiya (Tokyo Inst. of Tech.)
On applications of uniformly distributed sequences to finance problems
15:50-16:40Hidehiko Misho (Nagoya Univ.)
The universality theorem for L-functions associated with Grössencharacters
16:50-17:40Jun'ichi Tamura
p-adic values of certain continued fraction of high dimension


Wednesday 25 Oct.

9:30-10:30Koichi Kawada (Iwate Univ.)
Waring's problem and variants in the twentieth century
10:40-12:10Yoichi Motohashi (Nihon Univ.)
Distribution of Prime Numbers - looking back a bit personally
13:30-14:30Peter Bundschuh (Köln Univ.)
Arithmetical properties of functions satisfying linear q-difference equations: a survey
14:40-15:10Taka-aki Tanaka (Keio Univ.)
Transcendence of the values of certain lacunary series
15:20-16:10Jun Furuya (Nagoya Univ.)
On exponential sums involving the ideal counting function in quadratic fields
16:20-17:10Ryouhei Takeuchi (Tokyo Metrop. Univ.)
On the distribution of primitive roots satisfying a binomial equation

Reception at Kyoto University House 18:00-


Thursday 26 Oct.

9:30-10:30Noriko Hirata-Kohno (Nihon Univ.)
Linear Forms in Logarithms on Elliptic curves: a survey on recent results and open problems
10:45-11:45Attila Pethö (Debrecen Univ.)
The first 100 years of algorithmic theory of diophantine equations
13:30-14:30Ryotaro Okazaki (Doshisha Univ.)
On progress in class number one problem of CM-fields
14:40-15:40Marc Huttner (Lille 1st Univ.)
On a paper of Hermite and Diophantine approximation of Abelian integrals
16:00-16:50Hirofumi Nagoshi (Keio Univ.)
The universality of the family of automorphic L-functions
17:00-17:30Takeshi Kano (Yamagata Univ.)
Positivity of certain trigonometric sums


Friday 27 Oct.

9:30-10:30Shigeki Egami (Toyama Univ.)
Generalizations of the Dedekind sum
10:45-11:45Shin-ya Koyama (Keio Univ.)
Quantum ergodicity of Eisenstein series for arithmetic 3-manifolds
13:30-14:30Shigeki Akiyama (Niigata Univ.)
Tilings attached to the arithmetic algorithm
14:40-15:10Masami Yoshimoto (RIMS)
On Ramanujan's rapidly convergent series for Riemann zeta-values
15:20-16:00Yumiko Ichihara (Nagoya Univ.)
On Riesz mean for the coefficients of the twisted Rankin-Selberg L-functions
16:10-16:50Koji Chinen (Osaka Pref. Univ.), Leo Murata (Meiji Gakuin Univ.)
On a distribution property of the residual order of a (mod p)


1999 RIMS Conference
1998 RIMS Conference
1997 RIMS Conference


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