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arXiv · 1901.01019

Iterated Eisenstein τ-integrals and Multiple Eisenstein L-series

Zhongyu Jin
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Abstract

In this paper we study iterated Eisenstein τ-integrals and multiple Eisenstein L-series, they are functions on the complex upper half plane and form two Q-algebras. They reduce to iterated Eisenstein integrals and multiple Hecke L-functions with respect to Eisenstein series respectively after analytic extension when τ->0. We give the relations among them and prove the linear independence of their elements. Finally, we explain the connections among double Eisenstein L-functions and holomorphic double modular values.

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Zhongyu Jin. 2020-01-10. Iterated Eisenstein τ-integrals and Multiple Eisenstein L-series. https://arxiv.org/abs/1901.01019

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