10 citations · 15 across the 8 of their papers we have counts for
11 papers
Distribution of short sums of classical Kloosterman sums of prime powers moduli
Guillaume Ricotta
Corentin Perret-Gentil proved, under some very general conditions, that short sums of -adic trace functions over finite fields of varying center converges in law to a Gaussia…
Kloosterman paths of prime powers moduli, II
Guillaume Ricotta, Emmanuel Royer, Igor Shparlinski
G. Ricotta and E. Royer (2018) have recently proved that the polygonal paths joining the partial sums of the normalized classical Kloosterman sums $S(a,b;p^n)/p^(n/2) converge in l…
Kloosterman paths of prime powers moduli
Guillaume Ricotta, Emmanuel Royer
Emmanuel Kowalski and William Sawin proved, using a deep independence result of Kloosterman sheaves, that the polygonal paths joining the partial sums of the normalized classical K…
The amplification method in the GL(3) Hecke algebra
Roman Holowinsky, Guillaume Ricotta, Emmanuel Royer
This article contains all of the technical ingredients required to implement an effective, explicit and unconditional amplifier in the context of GL(3) automorphic forms. In partic…
On the sup-norm of SL(3) Hecke-Maass cusp forms
R. Holowinsky, K. Nowland G. Ricotta, E. Royer
This work contains a proof of a non-trivial explicit quantitative bound in the eigenvalue aspect for the sup-norm of a SL(3,Z) Hecke-Maass cusp form restricted to a compact set.
Fourier coefficients of GL(N) automorphic forms in arithmetic progressions
Emmanuel Kowalski, Guillaume Ricotta
We show that the multiple divisor functions of integers in invertible residue classes modulo a prime number, as well as the Fourier coefficients of GL(N) Maass cusp forms for all N…