On a relation between certain $q$-hypergeometric series and Maass waveforms
Number Theory
2016-03-17 v2
Abstract
In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of -series related to the -hypergeometric series from Ramanajun's lost notebook. Our results parallel a theorem of Cohen which says that , along with its partner function , interpolate the coefficients of a Maass waveform of eigenvalue .
Cite
@article{arxiv.1512.04452,
title = {On a relation between certain $q$-hypergeometric series and Maass waveforms},
author = {Matthew Krauel and Larry Rolen and Michael Woodbury},
journal= {arXiv preprint arXiv:1512.04452},
year = {2016}
}
Comments
15 pages; minor revisions