3 papers
math.NT2021
Planes in and Eisenstein series
Gautam Chinta, Valdir Pereira Júnior
We study the number of two-dimensional sublattices of of a fixed covolume and construct the associated Dirichlet series. The latter is shown to be related to Eisenst…
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.NT2020
Primes in arithmetic progressions and semidefinite programming
Andrés Chirre, Valdir José Pereira Júnior, David de Laat
Assuming the generalized Riemann hypothesis, we give asymptotic bounds on the size of intervals that contain primes from a given arithmetic progression using the approach developed…