分区等级的同余

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2024-01-29 DOI:10.1017/s0004972723001454

RENRONG MAO

引用次数: 0

摘要

分区秩在分区理论中发挥着重要作用。它们为拉马努扬著名的分区函数全等提供了组合解释。我们为分区的秩建立了一个调制 5$ 的幂的全等族。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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CONGRUENCES FOR RANKS OF PARTITIONS

Ranks of partitions play an important role in the theory of partitions. They provide combinatorial interpretations for Ramanujan’s famous congruences for partition functions. We establish a family of congruences modulo powers of

$5$

for ranks of partitions.

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society