41 citations · 180 across the 49 of their papers we have counts for
4 papers · 1 filter
On the distribution of the rational points on cyclic covers in the absence of roots of unity
Lior Bary-Soroker, Patrick Meisner
In this paper we study the number of rational points on curves in an ensemble of abelian covers of the projective line: Let be a prime, a prime power and consider the en…
Cubic twin prime polynomials are counted by a modular form
Lior Bary-Soroker, Jakob Stix
We present the geometry lying behind counting twin prime polynomials in in general. We compute cohomology and explicitly count points by means of a twisted Lefsch…
Irreducible polynomials of bounded height
Lior Bary-Soroker, Gady Kozma
The goal of this paper is to prove that a random polynomial with i.i.d. random coefficients taking values uniformly in is irreducible with probability tending t…
Correlations of sums of two squares and other arithmetic functions in function fields
Lior Bary-Soroker, Arno Fehm
We investigate a function field analogue of a recent conjecture on autocorrelations of sums of two squares by Freiberg, Kurlberg and Rosenzweig, which generalizes an older conjectu…