Integral representations of L-functions and spectral identities (Ramon Moreira Nunes, MPIM Bonn / Université Fédérale du Ceará)

Séminaire « Arithmétique »
M2 Kampé de Fériet
In recent years a lot of attention has been given to the study of spectral identities between moments of automorphic L-functions. Besides their intrinsic beauty, these formulas are also very powerful as one is able to deduce interesting information about moments without performing a delicate study of the geometric side of a trace formula. In this talk I will show some instances of spectral identities in the literature and show a recent result obtained jointly with Subhajit Jana on a higher rank spectral identity which relates mixed moments of certain Rankin--Selberg L-functions on $GL(n)$.

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