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Subconvexity bounds for automorphic L-functions

Published online by Cambridge University Press:  23 July 2009

A. Diaconu
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA (cad@math.umn.edu)
P. Garrett
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA (garrett@math.umn.edu)
Corresponding

Abstract

We break the convexity bound in the t-aspect for L-functions attached to cusp forms f for GL2(k) over arbitrary number fields k. The argument uses asymptotics with error term with a power saving, for second integral moments over spectral families of twists L(s,f⊗χ) by Grossencharacters χ, from our previous paper on integral moments.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2010

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