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Extending Recent Arithmetic Properties of Overcubic Partition Tuples
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
In recent years, several mathematicians have looked at a class of partitions called the overcubic partition $k$-tuples, for small values of $k$.
They have proved several divisibility results satisfied by these partitions.
We continue this study and prove a few infinite family of congruences.
Our proofs use elementary techniques from $q$-series and number theory.
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