Number Theory from the Stand Point of Analytic Number Theory

Date: Oct.19- Oct.23 (1998)
Place: Research Institute for Mathematical Science, Kyoto Univ. 1F Room 115
Tel:075-753-7206

Organized by Yoshinobu Nakai (Yamanashi Univ.)

The symbol '*' indicates the use of Over Head Projector

Monday Oct.19

13:00-13:05 Opening Address

13:05-13:50
Y.Tanigawa (Nagoya Univ.)
On divisor problem with characters

14:00-14:45
M.Kan (Ochanomizu Univ. DC)
q-congruent numbers and elliptic curves

14:55-15:40
T.Komatsu (Mie Univ.)
On an inhomogeneous Diophantine approximation problem of e

15:50-16:35
Y.Ichihara (Nagoya Univ. DC)
The Siegel-Walfisz Theorem for Rankin-Selberg L-functions associated with two cusp forms

16:45-17:15 *
T.Suzuki (Yamanashi Univ.)
A new method to compute zeros of polynomials

Tuesday Oct.20

9:00-10:00
H.Yoshida (Kyoto Univ.)
On special functions related to the limit formula and reciprocity law

10:10-12:00
M.Kaneko (Kyushu Univ.)
Rademacher constant, Atkin's inner product, and zeros of elliptic modular functions

13:00-14:00
Y.Yamamoto (Osaka Univ.)
To be announced

14:10-14:55
T.Asai (Shizuoka Univ.)
More sign patterns of Mckay-Strauss' type

15:05-16:05
K.Yoshikawa (Nagoya Univ.)
A higher dimensional Kronecker's limit formula I. Discriminant of theta divisors and analytic torsion

16:15-17:15
K.Yoshikawa (Nagoya Univ.)
A higher dimensional Kronecker's limit formula II. Generalized Enriques surfaces and analytic torsion

Wednesday Oct.21

9:00- 9:45
N.Terai (Ashikaga Technical Univ.) and K.Takakuwa (Gakushuin Univ. DC)
On a generalization of the conjecture of Jes'manowicz

9:55-10:55
N.Hirata-Kohno (Nihon Univ.)
Integer solutions of resultant inequalities

11:05-12:05
R.Morikawa (Nagasaki Univ.)
Equations with solutions in natural numbers

13:30-14:00
(Problem Session)

14:10-14:55
L.Murata (Meijigakuin Univ.)
Mean values of character sums

15:05-16:05
I.Wakabayashi (Seikei Univ.)
On a family of quartic Thue inequalities

16:15-17:15
K.Yamamura (Bouei Univ.)
A survey of small class number problems for CM-fields and related problems

Thursday Oct.22

9:00-10:00
K.Kawada (Iwate Univ.)
Topics in Waring's problem for fourth powers

10:10-10:55
S.Egami (Toyama Univ.)
Some methods of analytic continuation of number theoretical Dirichlet series

11:05-12:05
K.Matsumoto (Nagoya Univ.)
The universality of zeta-functions attached to certain cusp forms

13:30-14:15 *
M.Katsurada (Kagoshima Univ.)
On a series representation for z(2n+1) and its c-analogue

14:25-15:10
N.Yanagisawa (Tyuo Info. Co.)
An asymptotic formula for a certain mean value in a divisor problem

15:20-16:05
H.Ishikawa (Niigata Univ. DC)
On the coefficients of Taylor expansion of the Dirichlet L-functions at s = 1

16:15-17:00
J.Furuya (Nagoya Univ. DC)
On a problem of lattice points in a certain planar domain

Friday Oct.23

9:00- 9:45
Y.Kamiya (Nagoya Univ. DC)
Non-vanishing of L-functions associated with holomorphic cusp forms

9:55-10:40
M.Yoshimoto (Kyushu Univ. DC)
On the asymptotic expansion of the power sum of Farey fraction

10:50-11:35 *
T.P.Peneva (Tsukuba Univ.)
On some additive problems with primes and almost primes

11:45-12:30
S.Akiyama (Niigata Univ.)
Dynamical norm conjecture and the Pisot tiling

13:30-14:15
I.Kiuchi (Yamaguchi Univ.) and N.Yanagisawa (Tyuo Info. CO.)
On the mean value formulas for the approximate functional equation of the Riemann zeta-function

14:20-15:05 *
T.Mitsui (His unpublished result will be demonstrated by others.)
On certain multiple series with functional equation in a totally imaginary number field II

15:15-16:00
Y.Nakai (Yamanashi Univ.)
A candidate for cubic theta-Weyl sums

Last Updated Oct.13. Contact akiyama@math.sc.niigata-u.ac.jp for any correction.