D D Somashekara ; K N Vidya - On-Regular Bipartitions Modulo m

hrj:5106 - Hardy-Ramanujan Journal, January 23, 2019 - https://doi.org/10.46298/hrj.2019.5106
On-Regular Bipartitions Modulo mArticle

Authors: D D Somashekara 1,2; K N Vidya

  • 1 department of studies in mathematics, University of Mysore
  • 2 University of Mysore

Let bl(n) denote the number of l-regular partitions of n and Bl(n) denote the number of l-regular bipartitions of n. In this paper, we establish several infinite families of congruences satisfied by Bl(n) for l2,4,7. We also establish a relation between b9(2n) and B3(n).


Published on: January 23, 2019
Imported on: January 23, 2019
Keywords: Congruence,partition,regular partition,regular bipartition,theta functions 2010 Mathematics Subject Classification 11P83,05A17,[MATH]Mathematics [math],[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

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