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arXiv · 1612.06213

Linear Incongruences for Generalized Eta-Quotients

Steffen Löbrich
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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.

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Steffen Löbrich. 2016-12-19. Linear Incongruences for Generalized Eta-Quotients. https://arxiv.org/abs/1612.06213

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