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arXiv · 1206.5068

Iterated period integrals and multiple Hecke $L$-functions

YoungJu Choie·Kentaro Ihara
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Abstract

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 multipleHecke $L$-function.

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YoungJu Choie, Kentaro Ihara. 2012-06-22. Iterated period integrals and multiple Hecke $L$-functions. https://arxiv.org/abs/1206.5068

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