Infinitely Many Congruences for k-Regular Partitions with Designated Summands

Robson da Silva, James A. Sellers

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Abstract

Andrews et al. (Acta Arith. 105:51–66, 2002) introduced and studied the partition function PD(n), the number of partitions of n with designated summands. Recently, congruences involving the number of ℓ-regular partitions with designated summands, denoted by PD(n) , have been explored for specific fixed values of ℓ. In this paper, we provide several families containing infinitely many congruences for PDk(n) for various values of k.

Original languageEnglish (US)
JournalBulletin of the Brazilian Mathematical Society
DOIs
StatePublished - Jan 1 2019

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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