Iterated Eisenstein \tau-integrals and Multiple Eisenstein L-series

Autor: Jin, Zhongyu
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv