4 papers
Generic extensions and generic Polynomials for multiplicative groups
Jorge Morales, Anthony Sanchez
Let be a finite-dimensional algebra over a finite field and let be the multiplicative group of . In this paper, we…
Siegel's mass formula and averages of Dirichlet L-functions over function fields
Piotr Maciak, Jorge Morales
Let D be a square-free polynomial in F_q[t], where q is odd, and let G be a genus of definite ternary lattices over F_q[t] of determinant D. In this paper we give self-contained an…
Representations of Definite Binary Quadratic Forms over F_q[t]
Jean Bureau, Jorge Morales
In this paper, we prove that a binary definite quadratic form over F_q[t], where q is odd, is completely determined up to equivalence by the polynomials it represents up to degree…
Isospectral Definite Ternary F_q[t]-Lattices
Jean Bureau, Jorge Morales
We prove that the representations numbers of a ternary definite integral quadratic form defined over F_q[t], where F_q is a finite field of odd characteristic, determine its integr…