56 citations · 490 across the 44 of their papers we have counts for
54 papers
Unmotivated ergodic averages
Emmanuel Kowalski
We consider weighted ergodic averages indexed by primes, where the weight depends on the prime, and is a "trace function" coming from algebraic geometry. We obtain extensions the c…
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…
Fixed-point statistics from spectral measures on tensor envelope categories
Arthur Forey, Javier Fresán, Emmanuel Kowalski
We prove some old and new convergence statements for fixed-points statistics using tensor envelope categories, such as the Deligne--Knop category of representations of the "symmetr…
Ultra-short sums of trace functions
Emmanuel Kowalski, Théo Untrau
We generalize results of Duke, Garcia, Hyde, Lutz and others on the distribution of sums of roots of unity related to Gaussian periods to obtain equidistribution of similar sums ov…
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…
Sidon sets in algebraic geometry
Arthur Forey, Javier Fresán, Emmanuel Kowalski
We report new examples of Sidon sets in abelian groups arising from generalized jacobians of curves, and discuss some of their properties with respect to size and structure.