arXiv subjects

Shunta Yara

Publications and source records attributed to Shunta Yara.

2 recordsLinked to original sources

arXiv2026

On finite analogues of Dobi\'{n}ski's formula and of Euler's constant via Gregory polynomials

We study a finite analogue of Dobi\'{n}ski's formula, which is related to the Napier constant $e$, and its Bessel-type generalizations. Furthermore, using Gregory polynomials, we extend the results of Kaneko--Matsusaka--Seki on finite analogues of Euler's constant, and compare them with the Wilson-type analogue $\gamma_\mathcal{A}^\mathrm{W}$.

math.NT↗

arXiv2024

On integrality and asymptotic behavior of the $(k, l)$-G\"{o}bel sequences

Recently, Matsuhira, Matsusaka, and Tsuchida revisited old studies on the integrality of $k$-G\"{o}bel sequences and showed that the first 19 terms are always integers for any integer $k\ge 2$. In this article, we further explore two topics: Ibstedt's $(k,l)$-G\"{o}bel sequences and Zagier's asymptotic formula for the $2$-G\"{o}bel sequence, and extend their results.

math.NT↗