Divisibility and distribution of 5-regular partitions
Abstract
In this paper we study b5(n), the 5-regular partitions of n. Using the theory of modular forms, we prove several theorems on the divisibility and distribution properties of b5(n) modulo prime m≥5. In particular, we prove that there are infinitely many Ramanujan-type congruences modulo prime m≥5.
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