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On Some Infinite Families of Congruences for [J, K]-partitions Into Even Parts Distinct by M. S. Mahadeva Naika; T. Harishkumar; T. N. Veeranayaka is a Mathematics article available to read on EtoBox.

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In this paper, we define the partition function ped j;k ðnÞ; the number of [j, k]-partitions of n into even parts distinct, where none of the parts are congruent to j (mod k) (where k [ j ! 1Þ. We obtain many infinite families of congruences modulo powers of 2 for ped 3;6 ðnÞ and congruences modulo powers of 2 and 3 for ped 9;18 ðnÞ. For example, for all n ! 0 and a; b ! 0; where s 1⁄4 0; 2; 3; 4; 5; 6:

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Author

M. S. Mahadeva Naika; T. Harishkumar; T. N. Veeranayaka

Publisher

Springer Science and Business Media LLC

Published

2021

Language

EN

Field

Mathematics (Physical Sciences)