Second order average estimates on local data of cusp forms

Farrell Brumley

Second order average estimates on local data of cusp forms

Number Theory 2007-05-23 v1

Authors: Farrell Brumley

Abstract

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.

Keywords

l-functions bound

Cite

@article{arxiv.math/0510089,
  title  = {Second order average estimates on local data of cusp forms},
  author = {Farrell Brumley},
  journal= {arXiv preprint arXiv:math/0510089},
  year   = {2007}
}

Comments

15 pages; to be published in Archiv der Mathematik

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