Abstract
Let $$pod_3(n)$$ denote the number of 3-regular partitions of n with distinct odd parts (and even parts are unrestricted). In this article, we prove an infinite family of congruences for $$pod_3(n)$$ using the theory of Hecke eigenforms. We also study the divisibility properties of $$pod_3(n)$$ using arithmetic properties of modular forms.
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More From: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
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