2 citations · 2 across the 7 of their papers we have counts for
10 papers
Spectrally indistinguishable pseudorandom graphs
Arthur Forey, Javier Fresán, Emmanuel Kowalski +1
We construct explicit families of graphs whose eigenvalues are asymptotically distributed according to Wigner's semicircle law; in other words, that are spectrally indistinguishabl…
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…
Stratification theorems for exponential sums in families
Dante Bonolis, Emmanuel Kowalski, Katharine Woo
We survey some of the stratification theorems concerning exponential sums over finite fields, especially those due to Katz-Laumon and Fouvry-Katz, as well as some of their applicat…
Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields
Emmanuel Kowalski, Théo Untrau
The Wasserstein distance between probability measures on compact spaces provides a natural invariant quantitative measure of equidistribution, which is partly similar to the classi…
The gaps in the multiplication table
Emmanuel Kowalski, Vivian Kuperberg
We determine the complete list of the gaps between successive elements of the multiplication table of the first N integers.
Exponential sums over small subgroups, revisited
Emmanuel Kowalski
This is an expository account of the proof of the theorem of Bourgain, Glibichuk and Konyagin which provides non-trivial bounds for exponential sums over very small multiplicative…