Arindam Roy

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20132019

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math.NT2019

Zeros of Dirichlet polynomials

Arindam Roy, Akshaa Vatwani

We consider a certain class of multiplicative functions $f : N \to C$ and study the distribution of zeros of Dirichlet polynomials $F_N(s)= \sum_{n\le N} f(n…

math.NT2019

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 $J_{0} (ξ)$ , the Bessel function of the first kind, have been crucial in the studies on the electromagnetic field of alternating curr…

math.NT2018

Zeros of partial sums of $L$ -functions

Arindam Roy, Akshaa Vatwani

We consider a certain class of multiplicative functions $f : N \to C$ . Let $F (s) = \sum_{n = 1}^{\infty} f (n) n^{- s}$ be the associated Dirichlet series and $F_N(s…

math.NT2016

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 $erf (z)$ , the imaginary error function $erfi (z)$ , and an integral analogue of a partial theta function is given…

math.NT2015

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 $J_{z} (x), Y_{z} (x)$ and $K_{z} (x)$ are studied. In…

math.NT2013

Monotonicity Results for Dirichlet L-functions