Hypergeometric expressions of $L$-values for a Borweins theta product of weight $3$

Autor:	Ito, Ryojun
Rok vydání:	2022
Předmět:	Mathematics - Number Theory 11F27 11F67 33C20 33C70
Druh dokumentu:	Working Paper
Popis:	In this paper, we consider a modular form of weight 3, which is a product of the Borweins theta series, and express its $L$-values at $s=1$, $2$ and $3$ in terms of special values of Kamp\'e de F\'eriet hypergeometric functions, which are two-variable generalization of generalized hypergeometric functions. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.03022 Zobrazit plný text záznamu View this record from Arxiv