3 papers
math.NT2026
Refinements of ErdÅs's irrationality criterion for certain sparse infinite series
Hajime Kaneko, Yuta Suzuki, Yohei Tachiya
In this paper, we establish new irrationality criteria for certain sparse power series. As applications of these criteria, we generalize a result of ErdÅs and obtain several irrat…
math.NT2025
The Zsiflaw--Legeis theorem for arbitrary bases
Gautami Bhowmik, Yuta Suzuki
In this paper, we prove analogues of the Dirichlet theorem on arithmetic progressions and the Siegel--Walfisz theorem for the digital reverses of primes for arbitrary bases, which…
nlin.CD2025
PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schrödinger equation
N. Sawado, Y. Shimazaki, Y. Suzuki
In this paper we study chaotic behavior in the forced dissipative non-linear Schrödinger equation, so called the Bekki-Nozaki equation. Chaotic systems are often seen in a strong…