Chiranjit Ray

activity

20182021

ℓ

-regular partitions and triangular numbers

1 citations · 1 across the 1 of their papers we have counts for

collaborators

Showing math.NTShow all

5 papers · 1 filter

math.NT2021★ 1 cited

Distribution of certain $ℓ$ -regular partitions and triangular numbers

Chiranjit Ray

Let $p o d_{ℓ} (n)$ be the number of $ℓ$ -regular partitions of $n$ with distinct odd parts. In this article, prove that for any positive integer $k$ , the set of non-negative int…

math.NT2021

Congruences for dimensions of spaces of Siegel cusp forms and $4$ -core partitions

Chiranjit Ray, Manami Roy, Shaoyun Yi

Using the relationship between Siegel cusp forms of degree $2$ and cuspidal automorphic representations of $GSp (4, A_{Q})$ , we derive some congruences inv…

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