1 citations · 2 across the 11 of their papers we have counts for
18 papers
Some results on naive transcendence in the ring of integers modulo infinitely large primes
Toshiki Matsusaka, Shin-ichiro Seki
This paper presents various transcendence results in the ring of integers modulo infinitely large primes . In the ring , one can consider two notions of t…
On finite analogues of Dobiński's formula and of Euler's constant via Gregory polynomials
Toshiki Matsusaka, Taichi Miyazaki, Shunta Yara
We study a finite analogue of Dobiński's formula, which is related to the Napier constant , and its Bessel-type generalizations. Furthermore, using Gregory polynomials, we exten…
Poly-Bernoulli numbers from shifted log-sine integrals
Toshiki Matsusaka
In 1999, Arakawa and Kaneko introduced a zeta function whose special values at negative integers yield the poly-Bernoulli numbers and investigated its relation to multiple zeta val…
On the Alexander polynomials of modular knots
Soon-Yi Kang, Toshiki Matsusaka, Kyungbae Park
Closed geodesics associated with indefinite binary quadratic forms, or equivalently with real quadratic irrationals, have long been studied as geometric …
The Fourier coefficients and singular moduli of the elliptic modular function , revisited
Toshiki Matsusaka
Kaneko's formula expresses the Fourier coefficients of the elliptic modular -function as finite sums of singular moduli. First published as a short article in 1996, it was prese…
Applications of Faà di Bruno's formula to partition traces
Toshiki Matsusaka
We revisit several partition-theoretic generating functions, including the theta quotients from Ramanujan's lost notebook, MacMahon's partition functions, and reciprocal sums of pa…