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Theta-type congruences for colored partitions

Published 23 Jun 2022 in math.NT | (2206.11779v1)

Abstract: We investigate congruence relations of the form $p_r(\ell m n + t) \equiv 0 \pmod{\ell}$ for all $n$, where $p_r(n)$ is the number of $r$-colored partitions of $n$ and $m,\ell$ are distinct primes.

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