Iterated Eisenstein \tau-integrals and Multiple Eisenstein L-series
Number Theory
2020-01-13 v2
Abstract
In this paper we study iterated Eisenstein {\tau}-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 {\tau}->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.
Cite
@article{arxiv.1901.01019,
title = {Iterated Eisenstein \tau-integrals and Multiple Eisenstein L-series},
author = {Zhongyu Jin},
journal= {arXiv preprint arXiv:1901.01019},
year = {2020}
}