Diophantine Analysis and Related Fields 2019

March 7-9, 2019

University of Tsukuba, Ibaraki, Japan

Japanese Version

Organizers:
Shigeki Akiyama (Tsukuba Univ.)
Masaaki Amou (Gunma Univ.)
Ryotaro Okazaki
Leo Murata (Meiji Gakuin Univ.)
Masanori Katsurada (Keio Univ.)
Noriko Hirata-Kohno (Nihon Univ.)
Taka-aki Takana (Keio Univ.)

Local Organizers:

Shigeki Akiyama (Tsukuba Univ.)
Hiroshi Mikawa (Tsukuba Univ.)
Hajime Kaneko (Tsukuba Univ.)

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

Program   Abstracts

Thursday 7th March

10:00-10:50 Makoto Kawashima (Osaka University)
Linear independence measures for values of power of logarithm functions
11:00-11:50 Alan Filipin (University of Zagreb)
A polynomial variant of the problem of Diophantus
14:00-14:50 Yasutsugu Fujita (Nihon University)
Non-existence of Diophantine quadruples consisting of Fibonacci numbers
15:00-15:50 Thomas Stoll (Université de Lorraine)
The sum of digits in two different bases
16:00-16:50 Ryuji Abe (Tokyo Polytech. Univ.)
Markoff spectrum and arithmetic Fricke groups
17:00-17:50 Iekata Shiokawa (Keio University)
Irrationality exponents of certain sums of rational numbers

Friday 8th March

9:00-9:50 Yohei Tachiya (Hirosaki University)
Refinement of Chowla-Erdős method and arithmetical properties of certain Lambert series
10:00-10:50 Dong Han Kim (Dongguk University)
On the set of inhomogeneous Diophantine approximations
11:00-11:50 Teturo Kamae (Osaka City University)
Normal numbers as configurations on N2
14:00-14:50 Alan Haynes (University of Houston)
Diophantine approximation and diffraction from quasicrystals
15:00-15:50 Hohto Bekki (The University of Tokyo)
On the geodesic continued fraction and its periodicity
16:00-16:50 Arnaldo Nogueira (Institut de Mathématiques de Marseille)
On the action of the semigroup of non singular integral matrices on Rn
17:00-17:50 Haruki Ide (Keio University)
Algebraic independence of the values and the partial derivatives of a certain entire function of two variables

Saturday 9th March

10:00-10:50 Tomohiro Ooto (Tecnos Data Science Engineering)
Diophantine exponents for hyperquadratic continued fractions
11:00-11:50 Takafumi Miyazaki (Gunma University)
Application of cubic residue theory to a special type of unit equation concerning Eisenstein triples
12:00-12:50 Hajime Kaneko (University of Tsukuba)
Analogy of the Lagrange spectrum for powers of quadratic Pisot units

-------------------

Previous meeting: DARF 2018