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arXiv · 2608.18892

Universal Ramanujan-type congruences for prime-detecting quasimodular forms

Bailey Chrobak·William Craig
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Abstract

We establish the existence of infinitely many Ramanujan-type congruences which hold uniformly for the full $\Z$-module of prime detecting quasimodular forms. In particular, we prove that for every prime $p$, there is at least one arithmetic progression $An+B$ such that every prime-detecting quasimodular form has coefficients divisible by $p$ in this progression.

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Bailey Chrobak, William Craig. 2026-08-19. Universal Ramanujan-type congruences for prime-detecting quasimodular forms. https://arxiv.org/abs/2608.18892

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