7 citations · 13 across the 8 of their papers we have counts for
8 papers
Jacobian graphs
Arthur Forey, Javier Fresán, Emmanuel Kowalski +1
We introduce jacobian graphs, which are explicit families of regular graphs that are spectrally indistinguishable from random graphs, but whose local structure is very different fr…
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 , …
Rational approximation with chosen numerators
Manuel Hauke, Emmanuel Kowalski
We consider the problem of approaching real numbers with rational numbers with prime denominator and with a single numerator allowed for each denominator. We obtain basic results,…
Rational approximation with chosen numerators
Emmanuel Kowalski
We consider the problem of approaching real numbers with rational numbers with prime denominator and with a single numerator allowed for each denominator. We then present a simple…
Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha)
Emmanuel Royer, Jyoti Sengupta, Jie Wu
In this paper, we show that half of non-zero coefficients of the spinor zeta function of a Siegel cusp form of genus 2 are positive and half are negative.
Splitting fields of characteristic polynomials of random elements in arithmetic groups
F. Jouve, E. Kowalski, D. Zywina
We discuss rather systematically the principle, implicit in earlier works, that for a "random" element in an arithmetic subgroup of a (split, say) reductive algebraic group over a…
Mod-Gaussian convergence and the value distribution of and related quantities
E. Kowalski, A. Nikeghbali
In the context of mod-Gaussian convergence, as defined previously in our work with J. Jacod, we obtain lower bounds for local probabilities for a sequence of random vectors which a…
Mod-Poisson convergence in probability and number theory
E. Kowalski, A. Nikeghbali
Building on earlier work introducing the notion of "mod-Gaussian" convergence of sequences of random variables, which arises naturally in Random Matrix Theory and number theory, we…