Infinitely Many Congruences for k-Regular Partitions with Designated Summands

Autor(es)

da Silva, Robson ^[1] ; Sellers, James A. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Paulo UNIFESP, Av Cesare MG Lattes 1201, Sao Jose Dos Campos 12247014, SP - Brazil

^[2] Penn State Univ, Dept Math, 104 McAllister Bldg, University Pk, PA 16802 - USA

• Tipo de documento: Artigo Científico
• Fonte: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 51, n. 2, p. 357-370, JUN 2020.
• Citações Web of Science: 0

Resumo

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 PDl(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. (AU)

• Processo FAPESP: 16/14057-2 - Teoria aditiva dos números nos inteiros e em corpos de funções
• Beneficiário: Robson Oliveira da Silva
• Modalidade de apoio: Bolsas no Exterior - Pesquisa