20 citations · 27 across the 5 of their papers we have counts for
11 papers
Zeros of Dirichlet polynomials
Arindam Roy, Akshaa Vatwani
We consider a certain class of multiplicative functions and study the distribution of zeros of Dirichlet polynomials $F_N(s)= \sum_{n\le N} f(n…
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…
Zeros of partial sums of -functions
Arindam Roy, Akshaa Vatwani
We consider a certain class of multiplicative functions . Let be the associated Dirichlet series and $F_N(s…
New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan
Bruce C. Berndt, Atul Dixit, Arindam Roy +1
We focus on three pages in Ramanujan's lost notebook, pages 336, 335, and 332, in decreasing order of attention. On page 336, Ramanujan proposes two identities, but the formulas ar…
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…
Moments of averages of generalized Ramanujan sums
Nicolas Robles, Arindam Roy
Let be a positive integer. A generalization of the Ramanujan sum due to Cohen is given by \begin{align} c_{q,β}(n) := \sum\limits_{{{(h,{q^β})}_β} = 1} {e^{2πinh/{q^β}}}, \nonu…