Some New Congruences For Andrews Partition Function

Author(s)	Dr. Kanan Kumari Ojah, Shomavo Chakraborty
Country	India
Abstract	Recently, Andrews introduced partition function EO(n)and (EO) ̅(n) where the function EO(n) denotes the number of partitions of n in which every even part is less than each odd part and the function (EO) ̅(n) denotes the number of partitions enumerated by EO(n) in which only the largest even part appears an odd number of times. Pore and Fathima in [2] obtained some congruences modulo 2, 4, 10 and 20 for the partition function EO(n). In this paper, we prove some conjectures due to Pore and Fathima [2] and also find some new congruences for the partition functions (EO) ̅(n) and EO_e (n).
Keywords	Partition, congruences, Rogers-Ramanujan continued fraction
Field	Mathematics
Published In	Volume 7, Issue 3, May-June 2025
Published On	2025-06-30
DOI	https://doi.org/10.36948/ijfmr.2025.v07i03.49826
Short DOI	https://doi.org/g9r8bj

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