56 citations · 231 across the 10 of their papers we have counts for
3 papers · 2 filters
Algebraic trace functions over the primes
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel
We study sums over primes of trace functions of -adic sheaves. Using an extension of our earlier results on algebraic twist of modular forms to the case of Eisenstein series…
Counting sheaves using spherical codes
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel
Using the Riemann Hypothesis over finite fields and bounds for the size of spherical codes, we give explicit upper bounds, of polynomial size with respect to the size of the field,…
Algebraic twists of modular forms and Hecke orbits
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel
We consider the question of the correlation of Fourier coefficients of modular forms with functions of algebraic origin. We establish the absence of correlation in considerable gen…