Publications (8)
On Andrews' integer partitions with even parts below odd parts
Chiranjit Ray, Rupam Barman
Recently, Andrews defined a partition function which counts the number of partitions of in which every even part is less than each odd part. He also defined a…
Divisibility and distribution of related integer partitions of Andrews and Newman
Chiranjit Ray
Andrews and Newman introduced the minimal excludant or ``'' function for an integer partition of a positive integer , , as the smallest positive integer that…
Distribution of certain -regular partitions and triangular numbers
Chiranjit Ray
Let be the number of -regular partitions of with distinct odd parts. In this article, prove that for any positive integer , the set of non-negative int…
Distribution of Andrews' Singular Overpartitions
Chiranjit Ray
Andrews introduced the partition function , called singular overpartition, which counts the number of overpartitions of in which no part is divisible by…
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln
Chiranjit Ray
Suppose and are the Hauptmoduln of the congruence subgroup and the Fricke group , respectively. In [7], the authors predicted that, l…
Divisibility of Andrews' Singular Overpartitions by Powers of 2 and 3
Rupam Barman, Chiranjit Ray
Andrews introduced the partition function , called singular overpartition, which counts the number of overpartitions of in which no part is divisible by…