Research

Fields — I worked in various areas, especially Probability Theory & Stochastic Processes, Matrix Theory & High Dimensional Statistics, and more recently, Analytic Number Theory (see zbmath.org).

Current Research — I am interested in various approximation problems and identities related to the Riemann zeta function and Dirichlet L-functions:

[6] On twisted period functions and Moments of a weighted mean square of Dirichlet L-functions on the critical line (with B. Ringeling & E. Royer). Submitted.

[5] Multiple integral formulas for weighted zeta moments: the case of the sixth moment (with J. Najnudel). Ramanujan J. 65 (2024), 1421–1447. (a quite nice AI on this paper)

[4] Polynomial moments with a weighted zeta square measure on the critical line (with E. Hillion). Acta Arithmetica. 212, No. 3, 225-254 (2024). You can check the main formula using Python here!

[3] Polynomial approximations in a generalized Nyman-Beurling criterion (with F. Alouges & E. Hillion). Journal de Théorie des Nombres de Bordeaux. Tome 34, no 3 (2022), p. 767-785.

[2] On probabilistic generalizations of the Nyman-Beurling criterion for the zeta function (with E. Hillion). Confluentes Mathematici. Tome 13, no 1 (2021), p. 43–59.

[1] An exponentially-averaged Vasyunin formula (with E. Hillion). Proc. Amer. Math. Soc. 149 (2021), no. 7, 2969–2982.

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