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math.NT2005
Second order average estimates on local data of cusp forms
Farrell Brumley
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…
math.NT2003
Effective Multiplicity One for GL(n)
Farrell Brumley
We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Selberg L-functions on GL(n) x GL(n'). Such zero-free regions are equivalent to com…