Gautam Kalita

collaborators

3 papers

math.NT2012

Hypergeometric functions over $F_{q}$ and traces of Frobenius for elliptic curves

Rupam Barman, Gautam Kalita

We present here explicit relations between the traces of Frobenius endomorphisms of certain families of elliptic curves and special values of $_{2} F_{1}$ -hypergeometric functions o…

math.NT2012

Certain values of Gaussian hypergeometric series and a family of algebraic curves

Rupam Barman, Gautam Kalita

Let $λ \in Q ∖ {0, - 1}$ and $l \geq 2$ . Denote by $C_{l, λ}$ the nonsingular projective algebraic curve over $Q$ with affine equation given by $$y^l=(x-1)(…

math.NT2012

Hypergeometric functions and a family of algebraic curves

Rupam Barman, Gautam Kalita

Let $λ \in Q ∖ {0, 1}$ and $l \geq 2$ , and denote by $C_{l, λ}$ the nonsingular projective algebraic curve over $Q$ with affine equation given by $$y^l=x(x…

Hypergeometric functions over Fq​ and traces of Frobenius for elliptic curves

Certain values of Gaussian hypergeometric series and a family of algebraic curves

Hypergeometric functions and a family of algebraic curves

Hypergeometric functions over $F_{q}$ and traces of Frobenius for elliptic curves