4 citations · 9 across the 12 of their papers we have counts for
15 papers
A connection between low-lying zeros and central values of -functions
Didier Lesesvre, Ade Irma Suriajaya
We discuss the relation between statistics on low-lying zeros of -functions and distribution of the associated central values. More precisely, we deduce explicit conditional low…
On signs of coefficients of L-functions
Didier Lesesvre, Ming Ho Ng, Yingnan Wang
We give a general lower bound on the frequency of sign changes in the real coefficients of L-functions of the Selberg class. We in particular recover existing results in the cases…
Joint distribution of Hecke eigenforms on
Didier Lesesvre, Luca Marchesini, Nicole Raulf
We prove a joint value equidistribution statement for Hecke-Maaß cusp forms on the hyperbolic three-space . This supports the conjectural statistical independence of…
On signs of Fourier coefficients on GL(n)
Didier Lesesvre, Ming Ho Ng, Yingnan Wang
We study statistical properties of Fourier coefficients of automorphic forms on GL(n). For most Hecke-Maass cusp forms, we give the asymptotic number of nonvanishing coefficients,…
Murmurations using Petersson trace formula
Chan Ieong Kuan, Didier Lesesvre
We prove the murmuration phenomenon, which is a correlation between signs of functional equations and Fourier coefficients, in the case of modular forms in the weight aspect. We in…
An effective version of the Kuznetsov trace formula for GSp(4)
Félicien Comtat, Didier Lesesvre, Siu Hang Man
We develop an explicit version of the Kuznetsov trace formula for GSp(4), relating sums of Fourier coefficients to Kloosterman sums. We study the precise analytic behaviour of both…
Conditional lower bounds on the distribution of central values: the case of modular forms
Didier Lesesvre, Ade Irma Suriajaya
Radziwill and Soundararajan unveiled a connection between low-lying zeros and central values of -functions, which they instantiated in the case of quadratic twists of an ellipti…
Conductor zeta function for the GL(2) universal family
Farrell Brumley, Didier Lesesvre, Djordje Milićević
We obtain a Weyl law with power savings for the universal families of cuspidal automorphic representations, ordered by analytic conductor, of over , as…
Subconvexity for twisted GL(3) L-functions
Eren Mehmet Kıral, Chan Ieong Kuan, Didier Lesesvre
Using the circle method, we obtain subconvex bounds for GL(3) L-functions twisted by a character modulo a prime p, hybrid in the t and p-aspects.
Quadratic twists of central values for GL(3)
Chan Ieong Kuan, Didier Lesesvre
We prove that a cuspidal automorphic representation of GL(3) over any number field is determined by the quadratic twists of its central value. In the case of a non-Gelbart-Jacquet…
Sums of even ascending powers
Chan Ieong Kuan, Didier Lesesvre, Xuanxuan Xiao
Freiman and Scourfield proved that any large enough integer can be written as a sum of a certain number of ascending even powers. We use the circle method to provide the first expl…
The volumes of Miyauchi subgroups
Didier Lesesvre, Ian Petrow
Miyauchi described the and -factors attached to generic representations of the unramified unitary group of rank three in terms of local newforms defined by a seque…
Low-lying zeros of L-functions for Quaternion Algebras
Didier Lesesvre
The density conjecture of Katz and Sarnak predicts that, for natural families of L-functions, the distribution of zeros lying near the real axis is governed by a group of symmetry.…
Counting and Equidistribution for Quaternion Algebras
Didier Lesesvre
We aim at studying automorphic forms of bounded analytic conductor in the division quaternion algebra setting. We prove the equidistribution of the universal family with respect to…
Optimal transportation with an oscillation-type cost: the one-dimensional case
Didier Lesesvre, Paul Pegon, Filippo Santambrogio
The main result of this paper is the existence of an optimal transport map between two given measures and , for a cost which considers the maximal oscillation of at…