The New congruences for l-regular bipartitions for l in {3; 5; 6; 10; 20}

Authors

  • VIDYA N University of Mysore

Keywords:

Congruence, partition, regular partition, regular bipartition, theta functions

Abstract

Let Bl(n) denote the number of `l-regular bipartitions of n. In this paper, we study the Arithmetic properties of B`l(n) for `l in {3, 5, 6, 10, 20} and we establish several infinite families of congruences satisfied by them.

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Published

2022-05-14

Issue

Section

Articles