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.)
13:25-13:30 | Opening |
13:30-14:30 | Yasuo Morita (Tohoku Univ.) |
An introduction to the theory of Diophantine equations | |
14:40-15:40 | Yann Bugeaud (Strasbourg 1st Univ.) |
On the Diophantine equation (xn-1)/ (x-1) = yq | |
16:00-17:00 | Shunji Ito (Tsuda College) |
Cubic Pisot b-expansions and Thurston-Akiyama Tilings | |
17:10-17:40 | Masanori Katsurada (Keio Univ.) |
Specific values of derivatives of Hurwitz zeta-functions |
9:30-10:30 | Kohji Matsumoto (Nagoya Univ.) |
A survey on the divisor problem and the problem on the mean square of the Riemann zeta-function | |
10:45-11:45 | P.D.T.A. Elliott (Colorado Univ.) |
Probabilistic Number Theory and its Ramifications | |
13:30-14:30 | Tsuneo Arakawa (Rikkyo Univ.) |
Selberg trace formula for SL(2,R) and dimensions of certain spaces of cusp forms with small weights | |
14:40-15:30 | Shoiti Ninomiya (Tokyo Inst. of Tech.) |
On applications of uniformly distributed sequences to finance problems | |
15:50-16:40 | Hidehiko Misho (Nagoya Univ.) |
The universality theorem for L-functions associated with Grössencharacters | |
16:50-17:40 | Jun'ichi Tamura |
p-adic values of certain continued fraction of high dimension |
9:30-10:30 | Koichi Kawada (Iwate Univ.) |
Waring's problem and variants in the twentieth century | |
10:40-12:10 | Yoichi Motohashi (Nihon Univ.) |
Distribution of Prime Numbers - looking back a bit personally | |
13:30-14:30 | Peter Bundschuh (Köln Univ.) |
Arithmetical properties of functions satisfying linear q-difference equations: a survey | |
14:40-15:10 | Taka-aki Tanaka (Keio Univ.) |
Transcendence of the values of certain lacunary series | |
15:20-16:10 | Jun Furuya (Nagoya Univ.) |
On exponential sums involving the ideal counting function in quadratic fields | |
16:20-17:10 | Ryouhei Takeuchi (Tokyo Metrop. Univ.) |
On the distribution of primitive roots satisfying a binomial equation |
Reception at Kyoto University House 18:00-
9:30-10:30 | Noriko Hirata-Kohno (Nihon Univ.) |
Linear Forms in Logarithms on Elliptic curves: a survey on recent results and open problems | |
10:45-11:45 | Attila Pethö (Debrecen Univ.) |
The first 100 years of algorithmic theory of diophantine equations | |
13:30-14:30 | Ryotaro Okazaki (Doshisha Univ.) |
On progress in class number one problem of CM-fields | |
14:40-15:40 | Marc Huttner (Lille 1st Univ.) |
On a paper of Hermite and Diophantine approximation of Abelian integrals | |
16:00-16:50 | Hirofumi Nagoshi (Keio Univ.) |
The universality of the family of automorphic L-functions | |
17:00-17:30 | Takeshi Kano (Yamagata Univ.) |
Positivity of certain trigonometric sums |
9:30-10:30 | Shigeki Egami (Toyama Univ.) |
Generalizations of the Dedekind sum | |
10:45-11:45 | Shin-ya Koyama (Keio Univ.) |
Quantum ergodicity of Eisenstein series for arithmetic 3-manifolds | |
13:30-14:30 | Shigeki Akiyama (Niigata Univ.) |
Tilings attached to the arithmetic algorithm | |
14:40-15:10 | Masami Yoshimoto (RIMS) |
On Ramanujan's rapidly convergent series for Riemann zeta-values | |
15:20-16:00 | Yumiko Ichihara (Nagoya Univ.) |
On Riesz mean for the coefficients of the twisted Rankin-Selberg L-functions | |
16:10-16:50 | Koji Chinen (Osaka Pref. Univ.), Leo Murata (Meiji Gakuin Univ.) |
On a distribution property of the residual order of a (mod p) |