Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers
Number Theory
2018-10-23 v2
Abstract
New expressions are given for the Fourier expansions of non-holomorphic Eisenstein series with weight . Among other applications, this leads to non-holomorphic analogs of formulas of Ramanujan, Grosswald and Berndt containing Eichler integrals of holomorphic Eisenstein series.
Keywords
Cite
@article{arxiv.1803.08210,
title = {Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers},
author = {Cormac O'Sullivan},
journal= {arXiv preprint arXiv:1803.08210},
year = {2018}
}
Comments
33 pages, 2 figures, minor corrections and improvements, appearing in Res. Number Theory