56 citations · 490 across the 44 of their papers we have counts for
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The large sieve, monodromy and zeta functions of algebraic curves, II: independence of the zeros
Emmanuel Kowalski
Using the sieve for Frobenius, we show that, in a certain sense, the roots of the L-functions of "most" algebraic curves over finite fields do not satisfy any non-trivial (linear o…
Mod-Gaussian convergence: new limit theorems in probability and number theory
Jean Jacod, Emmanuel Kowalski, Ashkan Nikeghbali
We introduce a new type of convergence in probability theory, which we call ``mod-Gaussian convergence''. It is directly inspired by theorems and conjectures, in random matrix theo…
Averages of Euler products, distribution of singular series and the ubiquity of Poisson distribution
Emmanuel Kowalski
We discuss in some detail the general problem of computing averages of convergent Euler products, and apply this to examples arising from singular series for the -tuple conjectu…
An explicit integral polynomial whose splitting field has Galois group W(E_8)
F. Jouve, E. Kowalski, D. Zywina
Using the principle that characteristic polynomials of matrices obtained from elements of a reductive group over a number field typically have splitting field with Galois group iso…