4 papers
On integrality and asymptotic behavior of the -Göbel sequences
Hibiki Gima, Toshiki Matsusaka, Taichi Miyazaki +1
Recently, Matsuhira, Matsusaka, and Tsuchida revisited old studies on the integrality of -Göbel sequences and showed that the first 19 terms are always integers for any integer…
Arithmetic Dijkgraaf-Witten invariants for real quadratic fields, quadratic residue graphs, and density formulas
Yuqi Deng, Riku Kurimaru, Toshiki Matsusaka
We compute Hirano's formula for the mod 2 arithmetic Dijkgraaf-Witten invariant for the ring of integers of the quadratic field , where…
Curious congruences for cyclotomic polynomials II
Toshiki Matsusaka, Genki Shibukawa
We promote the recent research by Akiyama and Kaneko on the higher-order derivative values of the cyclotomic polynomials. This article focuses on Lehmer's explicit f…
Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers
Beáta Bényi, Toshiki Matsusaka
The central binomial series at negative integers are expressed as a linear combination of values of certain two polynomials. We show that one of the polynomials is a special value…