Linear Incongruences for Generalized Eta-Quotients
Number Theory
2018-04-18 v2
Abstract
For a given generalized eta-quotient, we show that linear progressions whose residues fulfill certain quadratic equations do not give rise to a linear congruence modulo any prime. This recovers known results for classical eta-quotients, especially the partition function, but also yields linear incongruences for more general weakly holomorphic modular forms like the Rogers-Ramanujan functions.
Keywords
Cite
@article{arxiv.1612.06213,
title = {Linear Incongruences for Generalized Eta-Quotients},
author = {Steffen Löbrich},
journal= {arXiv preprint arXiv:1612.06213},
year = {2018}
}