Infinitely Many Congruences for k-Regular Partitions with Designated Summands

Robson da Silva, James A. Sellers

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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)
Pages (from-to)357-370
Number of pages14
JournalBulletin of the Brazilian Mathematical Society
Volume51
Issue number2
DOIs
StatePublished - Jun 1 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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