On integrality and asymptotic behavior of the $(k, l)$-G\"{o}bel sequences
Number Theory
2024-02-15 v1
Abstract
Recently, Matsuhira, Matsusaka, and Tsuchida revisited old studies on the integrality of -G\"{o}bel sequences and showed that the first 19 terms are always integers for any integer . In this article, we further explore two topics: Ibstedt's -G\"{o}bel sequences and Zagier's asymptotic formula for the -G\"{o}bel sequence, and extend their results.
Cite
@article{arxiv.2402.09064,
title = {On integrality and asymptotic behavior of the $(k, l)$-G\"{o}bel sequences},
author = {Hibiki Gima and Toshiki Matsusaka and Taichi Miyazaki and Shunta Yara},
journal= {arXiv preprint arXiv:2402.09064},
year = {2024}
}
Comments
10 pages