论文标题
$ p $ - 亚事高几何功能在连接中与某些扭曲的Kloosterman捆和模块化形式
$p$-Adic hypergeometric functions in the connections with certain twisted Kloosterman sheaf sum and modular forms
论文作者
论文摘要
在本文中，我们建立了某些身份，将$ p $ adiC的超几何功能与第4-扭曲的Kloosterman捆出总和相关联。为了证明这些身份，我们根据$ p $ - adiC超测量功能的特殊值表达了有限字段的某些字符总和。埃文斯的一种猜想是用Kloosterman捆起来连接$ P $ ADIC超几何功能的桥梁。我们还将$ p $ -Adic超几何功能与某些模块化表单的傅立叶系数连接。
In this paper we establish certain identities connecting $p$-adic hypergeometric functions with 4-th twisted Kloosterman sheaf sum. To prove these identities we express certain character sum over finite field in terms of special values of $p$-adic hypergeometric functions. One conjecture of Evans behaves as a bridge to connect $p$-adic hypergeometric functions with Kloosterman sheaf sum. We also connect $p$-adic hypergeometric functions with Fourier coefficients of certain modular forms.
