Second order average estimates on local data of cusp forms
Résumé
We specify sufficient conditions for the square modulus of the local parameters of a family of GL(n) cusp forms to be bounded on average. These conditions are global in nature and are satisfied for n less than or equal to 4. As an application, we show that Rankin-Selberg L-functions on GL(n_1) ×GL(n_2) , for n_i less than or equal to 4, satisfy the standard covexity bound.
Domaines
Théorie des nombres [math.NT]
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