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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Infinitely Many Congruences for k-Regular Partitions with Designated Summands

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Author(s):
da Silva, Robson [1] ; Sellers, James A. [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 51, n. 2, p. 357-370, JUN 2020.
Web of Science Citations: 0
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 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)

FAPESP's process: 16/14057-2 - Additive number theory in the integers and in function fields
Grantee:Robson Oliveira da Silva
Support Opportunities: Scholarships abroad - Research