Diophantine Analysis and Related Fields 2015

March 5-7, 2015

Kiryu City Performing Arts Center, Kiryu, Japan

Japanese Version

Photo1, Photo2

Organizers:
Shigeki Akiyama(Tsukuba Univ.)
Masaaki Amou (Gunma Univ.) amou (at) gunma-u.ac.jp
Ryotaro Okazaki
Masanori Katsurada(Keio Univ.)
Takao Komatsu (Wuhan Univ.)
Noriko Hirata-Kohno (Nihon Univ.)

------------------- CONFERENCE INFORMATION

Dates:Thursday, March 5th - Saturday, March 7th, 2015
Place: Meeting Room 1, 4th Floor, Kiryu City Performing Arts Center
2-5 Orihime-cho, Kiryu, Japan

------------------- Program, Abstracts

Thursday 5 March

13:35-13:40 Opening
13:40-14:30 Takafumi Miyazaki (Nihon Univ.)
A polynomial-exponential Diophantine equation related to the sum of
consecutive k-th powers
14:40-15:20 Tomohiro Ooto (Tsukuba Univ.)
Quadratic approximation of continued fractions with low complexity
in Fq((T−1))
15:40-16:30 Takumi Noda (Nihon Univ.)
Confluent hypergeometric type Ramanujan's formulas
16:40-17:30 Yasutsugu Fujita (Nihon Univ.)
Bounds for Diophantine quintuples

Friday 6 March

9:30-10:10 Jonathan Caalim (Tsukuba Univ.)
Rotational beta expansion:Ergodicity and Soficness
10:20-11:10 Yu Yasufuku (Nihon Univ.)
Logarithmic Kodaira dimension and Diophantine equations
11:20-12:10 Masanori Katsurada (Keio Univ.)
Asymptotic expansions for the Laplace-Mellin and Riemann-Liouville
transforms of Lerch zeta-functions
14:00-14:50 Hajime Kaneko (Tsukuba Univ.)
On the beta-expansions of algebraic numbers by a Pisot or Salem
number beta
15:00-15:40 Junya Iwaki (Gunma Univ.)
Linear independence measures for the values of certain Mahler functions
16:00-16:40 Akinari Goto (Keio Univ.), Takaaki Tanaka (Keio Univ.)
Algebraic independence of the values of Mahler functions in a certain
case of positive characteristic
16:50-17:40 Makoto Kawashima (Osaka Univ.)
Linear independence of values of certain p-adic functions

Saturday 7 March

9:30-10:20 Hirofumi Nagoshi (Gunma Univ.)
The existence of zeros of non-primitive L-functions for SL(2, Z)
in the strip 1/2 < ℜs < 1
10:40-11:30 Takao Komatsu (Wuhan Univ.)
Associate and restricted Stirling numbers and their applications
11:30-11:35 Closing

Previous meeting: DARF 2014