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 2013 · math.NTShow all

2 papers · 2 filters

math.NT2013★ 2 cited

Hyperelliptic curves over $F_{q}$ and Gaussian hypergeometric series

Rupam Barman, Gautam Kalita

Let $d \geq 2$ be an integer. Denote by $E_{d}$ and $E_{d}^{'}$ the hyperelliptic curves over $F_{q}$ given by $E_{d} : y^{2} = x^{d} + a x + b and E_{d}^{'} : y^{2} = x^{d} + a x^{d - 1} + b,$ resp…

math.NT2013

p-adic Gamma function and traces of Frobenius of elliptic curves

Rupam Barman, Neelam Saikia

In \cite{mccarthy2}, McCarthy defined a function $_{n} G_{n} [\dots]$ using Teichmüller character of finite fields and quotients of $p$ -adic gamma function, and expressed the trace…

Hyperelliptic curves over Fq​ and Gaussian hypergeometric series

p-adic Gamma function and traces of Frobenius of elliptic curves

Hyperelliptic curves over $F_{q}$ and Gaussian hypergeometric series