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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
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…