56 citations · 231 across the 10 of their papers we have counts for
16 papers
Toroidal families and averages of L-functions, I
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel
We initiate the study of certain families of -functions attached to characters of subgroups of higher-rank tori, and of their average at the central point. In particular, we eva…
On the -rank of class groups of Dirichlet biquadratic fields
Étienne Fouvry, Peter Koymans, Carlo Pagano
We show that for of the odd, squarefree integers the -rank of is equal to , where is the number of prime d…
Representation of integers by cyclotomic binary forms
Etienne Fouvry, Claude Levesque, Michel Waldschmidt
The homogeneous form of degree which is associated with the cyclotomic polynomial is dubbed a {\it cyclotomic binary form}. A positive integer i…
Lectures on Applied -adic Cohomology
Etienne Fouvry, Emmanuel Kowalski, Philippe Michel +1
We describe how a systematic use the deep methods from -adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz, Laumon allow to make progress on…
Some applications of smooth bilinear forms with Kloosterman sums
Valentin Blomer, Étienne Fouvry, Emmanuel Kowalski +2
We revisit a recent bound of I. Shparlinski and T. P. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier…
On short sums of trace functions
É. Fouvry, E. Kowalski, Ph. Michel +3
We consider sums of oscillating functions on intervals in cyclic groups of size close to the square root of the size of the group. We first prove non-trivial estimates for interval…