56 citations · 231 across the 10 of their papers we have counts for
5 papers · 1 filter
On the greatest prime factor of ab+1
Étienne Fouvry
We improve some results on the size of the greatest prime factor of integers of the form ab+1, where a and b belong to finite sets of integers with rather large density.
On the conductor of cohomological transforms
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel
In the analytic study of trace functions of -adic sheaves over finite fields, a crucial issue is to control the conductor of sheaves constructed in various ways. We consider…
The sliding-sum method for short exponential sums
É. Fouvry, E. Kowalski, Ph. Michel
We introduce a method to estimate sums of oscillating functions on finite abelian groups over intervals or (generalized) arithmetic progressions, when the size of the interval is s…
On the exponent of distribution of the ternary divisor function
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel
We show that the exponent of distribution of the ternary divisor function in arithmetic progressions to prime moduli is at least 1/2+1/46, improving results of Heath-Brown an…
Strong orthogonality between the Möbius function, additive characters, and Fourier coefficients of cusp forms
Étienne Fouvry, Satadal Ganguly
Let be the -th nomalized Fourier coefficient of a Hecke--Maass cusp form for and let be a real number. We prove strong oscillations of the ar…