Noncommutative modular symbols and Eisenstein series

Autor:	Chinta, Gautam, Horozov, Ivan, O'Sullivan, Cormac
Rok vydání:	2017
Předmět:	Mathematics - Number Theory 11F11 11F67 30F35
Druh dokumentu:	Working Paper
Popis:	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. Comment: 19 pages, minor corrections and added references. To appear in the conference proceedings of Building Bridges 3
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.02305 Zobrazit plný text záznamu View this record from Arxiv