4 citations · 9 across the 12 of their papers we have counts for
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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…