Atul Dixit

activity

20092026

most citedGeneralized Lambert series and arithmetic nature of odd zeta values

23 citations · 35 across the 50 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.NT2011

Analogues of the general theta transformation formula

Atul Dixit

A new class of integrals involving the confluent hypergeometric function $_{1} F_{1} (a; c; z)$ and the Riemann $Ξ$ -function is considered. It generalizes a class containing some integ…

math.CA2011

Convexity of Quotients of Theta Functions

Atul Dixit, Arindam Roy, Alexandru Zaharescu

For fixed $u$ and $v$ such that $0 \leq u < v < 1/2$ , the monotonicity of the quotients of Jacobi theta functions, namely, $θ_{j} (u ∣ iπ t) / θ_{j} (v ∣ iπ t)$ , $j = 1, 2, 3, 4$ , on $0 < t < \infty$ h…

math.NT2011★ 2 cited

Character analogues of Ramanujan type integrals involving the Riemann $Ξ$ -function

Atul Dixit

A new class of integrals involving the product of $Ξ$ -functions associated with primitive Dirichlet characters is considered. These integrals give rise to transformation formulas o…

Analogues of the general theta transformation formula

Convexity of Quotients of Theta Functions

Character analogues of Ramanujan type integrals involving the Riemann Ξ-function

Character analogues of Ramanujan type integrals involving the Riemann $Ξ$ -function