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Abstract Let pk,3(n) count the number of 2-color partition triples of n where one of the colors appears only in parts that are multiples of k and Bk,ℓ(n) denote the… Click to show full abstract
Abstract Let pk,3(n) count the number of 2-color partition triples of n where one of the colors appears only in parts that are multiples of k and Bk,ℓ(n) denote the number of (k, ℓ)-regular bipartitions of n. In this paper, we prove two infinite families of congruences modulo 5 for p5,3(n), three infinite families of congruences modulo powers of 5 for p25,3(n), and six infinite families of congruences modulo powers of 5 for B5,25(n). For instance, for any integers n ≥ 0 and α ≥ 1, we have and
Keywords:
infinite families;
arithmetic properties;
families congruences;
modulo powers;
properties two;
congruences modulo
Journal Title: Quaestiones Mathematicae
Year Published: 2019
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Journal Title: Quaestiones Mathematicae
Year Published: 2019
Link to full text (if available)
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recommendations!