具有 5 个核的 K 符元分区的拉马努詹型全等式

Indian Journal of Pure and Applied Mathematics Pub Date : 2024-03-21 DOI:10.1007/s13226-024-00566-8

Manjil P. Saikia, Abhishek Sarma, Pranjal Talukdar

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摘要

我们证明了在\(k=2, 3, 4\) 条件下，对有 5 个核心的 k 元组进行 5 次幂调制的若干拉马努詹型同余式。我们还为具有 p 个素数的 k 元组（其中 p 是素数）证明了一些新的无穷全等族。

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

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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Indian Journal of Pure and Applied Mathematics

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