On certain explicit congruences for mock theta functions
Matthias Waldherr

TL;DR
This paper provides the first explicit examples of congruences for Ramanujan's mock theta functions, expanding understanding of their arithmetic properties and building on recent discoveries of Ramanujan-type congruences.
Contribution
It introduces the first explicit congruences for the mock theta functions and , advancing the study of their arithmetic behavior.
Findings
Explicit congruences for and are established.
The work extends Ramanujan-type congruence results to mock theta functions.
Provides new tools for analyzing mock theta function coefficients.
Abstract
Recently, Garthwaite-Penniston have shown that the coefficients of Ramanujan's mock theta function satisfy infinitely many congruences of Ramanujan-type. In this work we give the first explicit examples of congruences for Ramanujan's mock theta function and another mock theta function .
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Combinatorial Mathematics
