3 citations · 3 across the 6 of their papers we have counts for
7 papers
On the number of elements with prescribed norm and trace
Roberto Alvarenga, Herivelto Borges
Let F_q be the finite field with cardinality q, where q is a prime power. Given a finite field extension F_q^n over F_q and a,b in (F_q)^{*}, we investigate in this article the num…
Hecke eigenspaces for the projective line
Roberto Alvarenga, Nans Bonnel
In this article we investigate the action of (ramified and unramified) Hecke operators on automorphic forms for the function field of the projective line defined over a finite fiel…
On unramified automorphic forms over the projective line
Roberto Alvarenga, Valdir Pereira Junior
Let be a prime power and be the finite field with elements. In this article we investigate the space of unramified automorphic forms for ove…
Automorphic forms for PGL(3) over elliptic function fields. Part 1: Graphs of Hecke operators
Roberto Alvarenga, Oliver Lorscheid, Valdir Pereira Júnior
This is a first part of a series of papers in which we develop explicit computational methods for automorphic forms for GL(3) and PGL(3) over elliptic function fields. In this firs…
-adic Wan-Riemann Hypothesis for -towers of curves
Roberto Alvarenga
Our goal in this paper is to investigate four conjectures proposed by Daqing Wan about the stable behavior of a geometric -tower of curves . Let b…
Hall algebras and graphs of Hecke operators for elliptic curves
Roberto Alvarenga
The graph of a Hecke operator encodes all information about the action of this operator on automorphic forms over a global function field. These graphs were introduced by Lorscheid…
On graphs of Hecke operators
Roberto Alvarenga
The graph of a Hecke operator encodes all information about the action of this operator on automorphic forms. Let be a curve over , its function field and $\m…