2024/02/14 by Gima, Hibiki, Matsusaka, Toshiki, Miyazaki, Taichi +1
#FOS: Mathematics #Number Theory (math.NT) #Primary 11B37 #Secondary 11B50
paper · doi:10.48550/arxiv.2402.09064
Recently, Matsuhira, Matsusaka, and Tsuchida revisited old studies on the integrality of k-Göbel sequences and showed that the first 19 terms are always integers for any integer k≥ 2. In this article, we further explore two topics: Ibstedt's (k,l)-Göbel sequences and Zagier's asymptotic formula for the 2-Göbel sequence, and extend their results.