7 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-Maaà 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…