Ramanujan-type Congruences for Partition k-Tuples with 5-Cores

2023/01/31 by Saikia, Manjil P., Sarma, Abhishek, Talukdar, Pranjal
#11P81 #11P83 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2302.01750

Abstract

We prove several Ramanujan-type congruences modulo powers of 5 for partition k-tuples with 5-cores, for 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.

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