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Manuscripta Mathematica

, Volume 142, Issue 1–2, pp 245–255 | Cite as

Iterated period integrals and multiple Hecke L-functions

  • YoungJu Choie
  • Kentaro IharaEmail author
Article

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 multiple Hecke L-function.

Mathematics Subject Classification (2010)

Primary 11E45 Secondary 11M32 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Pohang Mathematics Institute, POSTECH HyojaPohangKorea
  2. 2.Department of MathematicsInternational College, Osaka UniversityToyonakaJapan

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