3 papers
math.NT2021
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…
math.NT2019
-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…
math.AG2018
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…