This article is an exposition of some of the basic questions of arithmetic statistics (counting
number fields and distribution of class groups) aimed at readers new to the area. Instead of …

An outrageous graphic novel that investigates key concepts in mathematics Integers and
permutations—two of the most basic mathematical objects—are born of different fields and …

We study the asymptotic count of dihedral quartic extensions over a fixed number field with
bounded norm of the relative discriminant. The main term of this count (including a …

The zeta function of a curve C over a finite field may be expressed in terms of the
characteristic polynomial of a unitary matrix ΘC. We develop and present a new technique to …

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 ensemble of …

We compute moments of L-functions associated to the polynomial family of Artin–Schreier
covers over, where q is a power of a prime p> 2, when the size of the finite field is fixed and …

We study the distribution of the traces of the Frobenius endomorphisms of genus g curves
which are quartic non-cyclic covers of PF q 1, as the curve varies in an irreducible …

Algebraic curves represent a very wide _eld of research in mathematics, and there are many
possibilities about the point of view one can adopt to approach this topic. In this thesis we …

We determine in this paper the distribution of the number of points on the cyclic covers of P 1
(F q) with affine models C: Y r= F (X), where F (X)∈ F q [X] and rth-power free when q is fixed …

On the distribution of eigenvalues in families of Cayley graphs | European Journal of Mathematics
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