论文标题
Hurwitz Zeta功能和Ramanujan的奇数Zeta值身份
Hurwitz Zeta Functions and Ramanujan's Identity for Odd Zeta Values
论文作者
论文摘要
受到Ramanujan著名公式的奇数Zeta值的启发，我们证明了一个类似的公式，涉及Hurwitz Zeta函数。我们引入了与Hurwitz Zeta函数相关的新的积分内核，从而推广了与Ramanujan的身份相关的积分内核。我们还得出了类似于Ramanujan的公式的几个无限族。
Inspired by a famous formula of Ramanujan for odd zeta values, we prove an analogous formula involving the Hurwitz zeta function. We introduce a new integral kernel related to the Hurwitz zeta function, generalizing the integral kernel associated to Ramanujan's identity. We also derive several infinite families of identities analogous to Ramanujan's formula.
