108 citations · 307 across the 89 of their papers we have counts for
6 papers · 1 filter
The distribution of values of short hybrid exponential sums on curves over finite fields
Kit-Ho Mak, Alexandru Zaharescu
Let be a prime number, be an absolutely irreducible affine plane curve over , and . We study the distribution of the values of the hy…
Zeros of partial sums of the Dedekind zeta function of a cyclotomic field
Andrew Ledoan, Arindam Roy, Alexandru Zaharescu
In this article, we study the zeros of the partial sums of the Dedekind zeta function of a cyclotomic field defined by the truncated Dirichlet series \[ ζ_{K, X} (s) = \sum_{\|…
Unnormalized differences between zeros of L-functions
Kevin Ford, Alexandru Zaharescu
We study a subtle inequity in the distribution of unnormalized differences between imaginary parts of zeros of the Riemann zeta function. We establish a precise measure which expla…
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…
Pair correlation of hyperbolic lattice angles
Florin P. Boca, Alexandru A. Popa, Alexandru Zaharescu
Let be a point in the upper half plane, and let be a discrete, finite covolume subgroup of . We conjecture an explicit formula for the pair corr…
The distribution of rational points and polynomial maps on an affine variety over a finite field on average
Kit-Ho Mak, Alexandru Zaharescu
Let be a prime, let be an absolutely irreducible affine variety inside the affine -space. In this paper, we consider the problem of how often a box will…