Chiranjit Ray

collaborators

3 papers

math.NT2019

Divisibility of Andrews' Singular Overpartitions by Powers of 2 and 3

Rupam Barman, Chiranjit Ray

Andrews introduced the partition function $C_{k, i} (n)$ , called singular overpartition, which counts the number of overpartitions of $n$ in which no part is divisible by…

math.NT2018

On Andrews' integer partitions with even parts below odd parts

Chiranjit Ray, Rupam Barman

Recently, Andrews defined a partition function $EO (n)$ which counts the number of partitions of $n$ in which every even part is less than each odd part. He also defined a…

math.NT2018

Arithmetic properties of cubic and overcubic partition pairs

Chiranjit Ray, Rupam Barman

Let $b (n)$ denote the number of cubic partition pairs of $n$ . We give affirmative answer to a conjecture of Lin, namely, we prove that $b (49 n + 37) \equiv 0 (mod 49) .$ We also prov…