Rupam Barman

activity

20122026

most citedCertain product formulas and values of Gaussian hypergeometric series

8 citations · 12 across the 23 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

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…

math.NT2018

Certain character sums and hypergeometric series

Rupam Barman, Neelam Saikia

We prove two transformations for the $p$ -adic hypergeometric series which can be described as $p$ -adic analogues of a Kummer's linear transformation and a transformation of Clausen…

math.NT2018

A finite field analogue of the Appell series $F_{4}$

Mohit Tripathi, Rupam Barman

We define a function $F_{4}^{*}$ as a finite field analogue of the classical Appell series $F_{4}$ using Gauss sums. We establish identities for $F_{4}^{*}$ analogous to those sati…

On Andrews' integer partitions with even parts below odd parts

Arithmetic properties of cubic and overcubic partition pairs

Certain character sums and hypergeometric series

A finite field analogue of the Appell series F4​

A finite field analogue of the Appell series $F_{4}$