Rupam Barman

activity

20122026

most citedOn Andrews' integer partitions with even parts below odd parts

17 citations · 40 across the 41 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

2 papers · 2 filters

math.NT2015★ 6 cited

Counting Points on Dwork Hypersurfaces and $p$ -adic Gamma Function

Rupam Barman, Hasanur Rahman, Neelam Saikia

We express the number of points on the Dwork hypersurface $X_{λ}^{d} : x_{1}^{d} + x_{2}^{d} + \dots + x_{d}^{d} = d λ x_{1} x_{2} \dots x_{d}$ over a finite field of order $q \neq \equiv 1 (mod d)$ in terms o…

math.NT2015★ 2 cited

Supercongruences for truncated hypergeometric series and p-adic gamma function

Rupam Barman, Neelam Saikia

We prove three more general supercongruences between truncated hypergeometric series and $p$ -adic Gamma function from which some known supercongruences follow. A supercongruence co…

Counting Points on Dwork Hypersurfaces and p-adic Gamma Function

Supercongruences for truncated hypergeometric series and p-adic gamma function

Counting Points on Dwork Hypersurfaces and $p$ -adic Gamma Function