Noncommutative modular symbols and Eisenstein series
Number Theory
2018-10-23 v2
Abstract
We form real-analytic Eisenstein series twisted by Manin's noncommutative modular symbols. After developing their basic properties, these series are shown to have meromorphic continuations to the entire complex plane and satisfy functional equations in some cases. This theory neatly contains and generalizes earlier work in the literature on the properties of Eisenstein series twisted by classical modular symbols.
Cite
@article{arxiv.1704.02305,
title = {Noncommutative modular symbols and Eisenstein series},
author = {Gautam Chinta and Ivan Horozov and Cormac O'Sullivan},
journal= {arXiv preprint arXiv:1704.02305},
year = {2018}
}
Comments
19 pages, minor corrections and added references. To appear in the conference proceedings of Building Bridges 3