Ramanujan-type congruences for partition k-tuples with 5-cores

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发表日期：

2024年3月21日

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Manjil P. Saikia,
Abhishek Sarma,
Pranjal Talukdar

摘要

We prove several Ramanujan-type congruences modulo powers of 5 for partition k-tuples with 5-cores, for $k=2, 3, 4$ $k = 2, 3, 4$ . We also prove some new infinite families of congruences modulo powers of primes for k-tuples with p-cores, where p is a prime.