4 papers
Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory
Atul Dixit, Arindam Roy
Closed-form evaluations of certain integrals of , the Bessel function of the first kind, have been crucial in the studies on the electromagnetic field of alternating curr…
Error functions, Mordell integrals and an integral analogue of partial theta function
Atul Dixit, Arindam Roy, Alexandru Zaharescu
A new transformation involving the error function , the imaginary error function , and an integral analogue of a partial theta function is given…
Koshliakov kernel and identities involving the Riemann zeta function
Atul Dixit, Nicolas Robles, Arindam Roy +1
Some integral identities involving the Riemann zeta function and functions reciprocal in a kernel involving the Bessel functions and are studied. In…
Monotonicity Results for Dirichlet L-functions
Atul Dixit, Arindam Roy, Alexandru Zaharescu
We present some monotonicity results for Dirichlet -functions associated to real primitive characters. We show in particular that these Dirichlet -functions are far from bein…