Diophantine Analysis and Related Fields 2024

Japanese version
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Outline


Program
Abstract



Monday 4th March

13:20-13:30 Opening
13:30-14:20 Shinichi Yasutomi (Toho Univ.)
Simultaneous convergent continued fraction algorithm with two places
14:30-15:20 Yu Yasufuku (Nihon Univ.)
Bounding GCD's of evaluations of two trivariate polynomials
15:40-16:20 Yuta Suzuki (Rikkyo Univ.)
Some remarks on counting relatively prime pairs
16:30-17:10 Wataru Takeda (Tokyo Univ. Science)
Multiplicative Titchmarsh divisor problem for the [x/n]-sequence
17:20-18:00 Tomohiro Yamada (Osaka Univ.)
On Gauss-Kraïtchik formula for cyclotomic polynomials via symmetric function

Tuesday 5th March

9:20-10:10 István Pink (Univ. Debrecen), Takafumi Miyazaki (Gunma Univ.)
Number of solutions to a special type of unit equations in two unknowns III
10:20-11:10 Noriko Hirata-Kohno (Nihon Univ.)
Diophantine approximations and O-Minimality
11:20-12:00 Makoto Kawashima (Nihon Univ.)
Gauss' continued fraction and irrationality
14:00-14:50 Yasutsugu Fujita (Nihon Univ.)
Bounding the size of D(±1)-tuples in imaginary quadratic rings
15:00-15:50 Taka-aki Tanaka (Keio Univ.)
On a certain function invariant under group action with remarkable
algebraic independence properties
16:10-16:50 Shintaro Murakami (Hirosaki Univ.)
Linear independence of certain infinite series with monomial orders
17:00-17:40 Motoya Teranishi (Kyoto Univ.)
On potential density of integral points on the complement of some
subvarieties in the projective space
18:30-20:30 Reception

Wednesday 6th March

9:20-10:10 Takumi Noda (Nihon Univ.)
On the generating Dirichlet series of the Riemann zeta-function
10:30-11:10 Kota Saito (Univ. Tsukuba)
The simple normality of the fractional powers of two and the Riemann zeta function
11:20-12:00 Hajime Kaneko (Univ. Tsukuba)
Markoff and Lagrange spectra on one-sided shift spaces with cylinder orders
12:00-12:10 Closing

Reception
The reception will be held at Bikinikan, near JR Kiryu Station.
If you are interested in participating, please contact us by Thursday, February 22nd.
Contact details:Takafumi Miyazaki (Gunma Univ.)
E-mail:tmiyazaki (at) gunma-u.ac.jp


Organizers:

Local Organizers:


This conference is supported by JSPS KAKENHI Grant Number JP21K03171.


Previous meeting: Darf 2023


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