6 citations · 15 across the 12 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.NT2017
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…
math.NT2017★ 6 cited
One Level Density for Cubic Galois Number Fields
Patrick Meisner
Katz and Sarnak predicted that the one level density of the zeros of a family of -functions would fall into one of five categories. In this paper, we show that the one level den…
math.NT2017
Expected Value of High Powers of Trace of Frobenius of Biquadratic Curves Over a Finite Field
Patrick Meisner
Denote as the Frobenius class of a curve over the finite field . In this paper we determine the expected value of Tr where runs over all biquad…