New Aspects of Analytic Number Theory

Japanese Version,

Date : October 27-29, 2008
Place : Research Institute for Mathematical Sciences (RIMS), Kyoto Univ.,
           Kyoto, JAPAN
Organizer : Takao Komatsu (Hirosaki Univ.)
Supported by Japan Society for the Promotion of Science (Grant-in-Aid for Scientifc Research, No.18540006; No.19540053) and by Fund for the Promotion of International Scientific Research (2008, B-1)


Program      Abstracts (pdf)

October 27 (Monday)

 10:00-10:10 Opening
 10:15-10:45 Takao Komatsu (Hirosaki Univ.)
Four-term recurrence relations
11:00-12:00 Vichian Laohakosol (Kesetsart Univ., Thailand)
Reciprocal sums of generalized second order recurrence sequences
14:00-14:30 Hajime Kaneko (Kyoto Univ.)
Applications of subspace theorem to the fractional parts of geometric series
14:40-15:10 Takaaki Tanaka (Keio Univ.)
Algebraic independence of certain series involving continued
fractions and generated by linear recurrences
15:20-15:50 Hideaki Ishikawa (Hachinohe National College of Technology)
Yuichi Kamiya (Meijigakuin Univ.)
On a relation between sums of arithmetical functions
and Dirichlet series
16:10-16:40 Hyunsuk Moon (Kyungpook National Univ., Korea)
On the structure of the Mordell-Weil groups of Jacobians over infinite number fields
16:50-17:20 Yoshinori Hamahata (Tokyo Univ. of Science)
Reciprocity laws of Dedekind sums in characteristic p
18:00-20:00 Banquet (COOP "Hokuto")


October 28 (Tuesday)

 10:00-11:00 Chris Caldwell (UTM, USA)
Generalized Sierpiński Numbers
11:15-12:00 Yoshiyuki Kitaoka (Meijo Univ.)
Distribution of roots of a polynomial modulo primes
14:00-14:30 Takashi Nakamura (Kyushu Univ.)
Zeros and the universality for the Euler-Zagier-Hurwitz
type of multiple zeta-functions
14:40-15:10 Makoto Minamide (Nagoya Univ.)
The number of zeros of the derivative of the modified Selberg zeta function
15:30-16:15 Yasushi Komori (Nagoya Univ.), Kohji Matsumoto (Nagoya Univ.),
Hirofumi Tsumura (Tokyo Metropolitan Univ.)
Certain double series of Euler type and of Eisenstein type and Hurwitz numbers (I)
16:25-16:55 Masatoshi Suzuki (Univ. of Tokyo)
On a continuous deformation of the Riemann zeta-function


October 29 (Wednesday)

 9:10-10:10 Marc Huttner (Lille 1, France)
Constructible sets of linear differential equations and
effective rational approximations of polylogarithmic functions
11:10-12:00 Michio Ozeki (Hirosaki Univ.)
A solution to a problem of S. Manni and the related topics
14:00-14:30 Shin-ichi Yasutomi (Suzuka National College of Technology),
Jun-ichi Tamura (Tsuda College)
A new multidimensional continued fraction algorithm
14:40-15:10 Takumi Noda (Nihon Univ.)
An explicit formula for the zeros of the Rankin-Selberg L-function
15:30-16:15 Yasushi Komori (Nagoya Univ.), Kohji Matsumoto (Nagoya Univ.),
Hirofumi Tsumura (Tokyo Metropolitan Univ.)
Certain double series of Euler type and of Eisenstein type and Hurwitz numbers (I)
16:25-16:55 Carsten Ersner (FHDW, Germany), Shun Shimomura (Keio Univ.),
Iekata Shiokawa (Keio Univ.)
Algebraic independence of values of Ramanujan q-series

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