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ARITHMETIC PROPERTIES OF PARTITIONS INTO k PARTS CONGRUENT TO +/- l MODULO m

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Autor(es):
da Silva, Robson ; de Oliveira, Kelvin Souza ; da Graca Neto, Almir Cunha
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Colloquium Mathematicum; v. 159, n. 1, p. 13-pg., 2020-01-01.
Resumo

Ramanuj an-type congruences satisfied by functions that enumerate partitions whose parts belong to a finite set are well-known and have been studied by many authors. In this paper, we let the parts belong to the infinite set of integers congruent to +/- l modulo m and we obtain infinitely many Ramanuj an-type congruences for the corresponding number of partitions into exactly k parts, p(+/- l)(m)(n,k). We also consider two other restricted partition functions. (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