A. Zaharescu

activity

19992025

most citedThe distribution of spacings between the fractional parts of

n^{2} α

108 citations · 307 across the 89 of their papers we have counts for

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Showing 2017 · math.NTShow all

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math.NT2017

Zeros of combinations of the Riemann $Ξ$ -function and the confluent hypergeometric function on bounded vertical shifts

Atul Dixit, Rahul Kumar, Bibekananda Maji +1

In 1914, Hardy proved that infinitely many non-trivial zeros of the Riemann zeta function lie on the critical line using the transformation formula of the Jacobi theta function. Re…

math.NT2017

Sums of squares and products of Bessel functions

Bruce C. Berndt, Atul Dixit, Sun Kim +1

Let $r_{k} (n)$ denote the number of representations of the positive integer $n$ as the sum of $k$ squares. We rigorously prove for the first time a Voronoi summation formula for $r_k…

Zeros of combinations of the Riemann Ξ-function and the confluent hypergeometric function on bounded vertical shifts

Sums of squares and products of Bessel functions

Zeros of combinations of the Riemann $Ξ$ -function and the confluent hypergeometric function on bounded vertical shifts