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Paper detail

Iterated period integrals and multiple Hecke $L$-functions

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.

preprint2012arXivOpen access
Youngju ChoieKentaro Ihara
math.NT
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Youngju ChoieKentaro Ihara

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