论文标题
关于jacobi theta重量产品的$ l $ unctions的特殊价值3
On special values at integers of $L$-functions of Jacobi theta products of weight 3
论文作者
论文摘要
在本文中,我们考虑了重量3的模块化形式的$ l $ functions,这是Jacobi Theta系列的产物,并以$ s = 3 $,$ 4 $的特殊价值表示其特殊值,而KampédeFériettefériet超角色功能的特殊值则表示。此外,通过$ l $值,我们在坎佩·德·费利埃特(KampéDeFériet)超几何函数和广义超几何函数之间提供了一些关系。
In this paper, we consider $L$-functions of modular forms of weight 3, which are products of the Jacobi theta series, and express their special values at $s=3$, $4$ in terms of special values of Kampé de Fériet hypergeometric functions. Moreover, via $L$-values, we give some relations between special values of Kampé de Fériet hypergeometric functions and generalized hypergeometric functions.