论文标题
Borweins Theta产品的重量$ 3 $
Hypergeometric expressions of $L$-values for a Borweins theta product of weight $3$
论文作者
论文摘要
在本文中，我们考虑了重量3的模块化形式，该形式是Borweins theta系列的产物，并在$ s = 1 $，$ 2 $和3 $的特殊价值方面表达其$ l $值，这是坎佩·德里埃特（KampéDeférietDefériet）超角函数的特殊价值，这是一般超角度功能的两种变量通用。
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 Kampé de Fériet hypergeometric functions, which are two-variable generalization of generalized hypergeometric functions.
