论文标题
奇数Zeta值和广义Eisenstein系列的较高功率的转换公式
Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series
论文作者
论文摘要
在本文中,我们获得了奇数Zeta值较高幂的转换公式,该公式概括了Ramanujan的奇数Zeta值公式。我们还研究了许多重要的应用,这些应用又提供了Eisenstein系列,Dedekind ETA功能等的转换公式的概括。
In this article, we obtain a transformation formula for the higher power of odd zeta values, which generalizes Ramanujan's formula for odd zeta values. We have also investigated many important applications, which in turn provide generalizations of the transformation formula of the Eisenstein series, Dedekind eta function etc.