255 citations · 598 across the 29 of their papers we have counts for
36 papers
On algebraic twists with composite moduli, II
Yongxiao Lin, Philippe Michel
We study bounds for correlation sums of automorphic coefficients on with trace functions of composite moduli. This is a sequel to our previous works wi…
Toroidal families and averages of -functions, II: cubic moments
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel +1
Generalizing our previous work on ``toroidal averages'', we study the average of special values of -functions of the form for integers , …
Bilinear forms with trace functions
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel +1
We obtain non-trivial bounds for bilinear sums of trace functions below the Pólya-Vinogradov range assuming only that the geometric monodromy group of the underlying ell-adic sheaf…
The unipotent mixing conjecture
Valentin Blomer, Philippe Michel
We show that shifted pairs of discrete or continuous low-lying horocycles equidistribute in the product space of two modular curves.
On algebraic twists with composite moduli
Yongxiao Lin, Philippe Michel
We study bounds for algebraic twists sums of automorphic coefficients by trace functions of composite moduli.
Rankin-Selberg coefficients in large arithmetic progressions
Emmanuel Kowalski, Yongxiao Lin, Philippe Michel
Let be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form . We prove that, for any fixed , under the Ramanuja…