Iterated period integrals and multiple Hecke L-functions

作者：Choie YoungJu; Ihara Kentaro^*

来源：Manuscripta Mathematica, 2013, 142(1-2): 245-255.

DOI：10.1007/s00229-013-0605-2

In this paper we express the multiple Hecke L-function in terms of a linear combination of iterated period integrals associated with elliptic cusp forms, which is introduced by Manin around 2004. This expression generalizes the classical formula of Hecke L-function obtained by the Mellin transformation of a cusp form. Also the expression gives a way of the analytic continuation of the multiple Hecke L-function.

• 出版日期2013-9