Second order average estimates on local data of cusp forms

Details Second order average estimates on local data of cusp forms Second order average estimates on local data of cusp forms

2005-10-05

arxiv.org/abs/math/0510089v1

Mathematics

Number Theory

15 pages; to be published in Archiv der Mathematik

Scientific paper

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 at present satisfied for n less than or equal to 4. As an application, we show that Rankin-Selberg L-functions on GL(m) x GL(n), when m and n are less than or equal to 4, satisfy the standard convexity bound.

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