Program ∗ Please see the pdf file for the exact formulas.
March 3, 2025 (Monday)
10:00 - 10:10 Opening Remarks
Hiroaki Anada (Institute for Mathematical Informatics, Meiji Gakuin University)
10:10 - 11:00 Iekata Shiokawa (Keio University)
On continued fractions related to Stern’s polynomials
11:20 - 12:10 Hajime Kaneko (University of Tsukuba)
Phase transition phenomena related to the fractional parts of geometric progressions
14:00 - 14:40 Satoru Oshima (University of Tsukuba)
On the linear independence of a certain series related to forbidden words
15:00 - 15:40 Takafumi Tsurumaki (University of Tsukuba)
Arithmetic properties of linear independence in infinite series with exponents as powers of natural numbers
16:00 - 16:50 Zheng Xiao (Beijing International Center for Mathematical Research)
Diophantine approximation on surfaces and distribution of integral points
17:10 - 18:00 Julie Tzu-Yueh Wang (Academia Sinica)
GCD, abc and Campana’s orbifold conjecture
March 4, 2025 (Tuesday)
10:00 - 10:50 Alan Filipin (University of Zagreb) ∗online talk via Zoom
On triangular Diophantine sets
11:10 - 12:00 Yasutsugu Fujita (Nihon University)
The number of solutions to the generalized Ramanujan-Nagell equation $x^2-D=4p^n$
14:00 - 14:40 Hayato Kudo (University of Tsukuba)
New formulas involving multifactorials applied to Bernoulli numbers and Cauchy numbers
15:00 - 15:50 Tomohiro Yamada (Osaka University)
Machin-type formulae
$k_1 \arctan \frac{1}{x_1}+k_2 \arctan \frac{1}{x_2}+k_3 \arctan \frac{1}{x_3}=\frac{r \pi}{4}$
with $2\leq x_1\leq 9$
16:10 - 17:00 Sinnou David (Sorbonne University)
On linear independence of special values of hypergeometric functions
March 5, 2025 (Wednesday)
10:00 - 10:50 Kota Saito (University of Tsukuba)
Transcendence of Mills-type constants
11:10 - 12:00 Eiji Miyanohara
Arithmetical properties of certain infinite chains of square matrices of Mahler type functional equations
12:20 - 13:10 Daniel Duverney (Baggio Engineering School)
Prime numbers and Mahler’s method