Theta-type congruences for colored partitions

O. Beckwith,A. Caione, Z. Chen,M. Diluia,O. Gonzalez, J. Su

arxiv（2023）

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摘要

We investigate congruence relations of the form pr(emn +t) & EQUIV; 0 (mod .@) for all n, where pr(n) is the number of r-colored partitions of n and m, .@ are distinct primes. & COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).

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关键词

Partitions,Modular forms,Ramanujan,Congruences

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