Burgess-like Subconvex Bounds for GL2 × GL1
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Date
2014-06
Publication Type
Journal Article
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yes
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Abstract
Let F be a number field, π an irreducible cuspidal representation of GL2(AF) with unitary central character, and χ a Hecke character of analytic conductor Q. Then L(1/2,π⊗χ)≪Q12−18(1−2θ)+ϵ, where 0≤θ≤1/2 is any exponent towards the Ramanujan–Petersson conjecture. The proof is based on an idea of unipotent translation originated from P. Sarnak then developed by Ph. Michel and A. Venkatesh, combined with a method of amplification.
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published
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Journal / series
Volume
24 (3)
Pages / Article No.
968 - 1036
Publisher
Springer
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Subject
Automorphic form; Unitary Irreducible Representation; automorphic representation; Cuspidal Representation; Real Place
Organisational unit
02000 - Dep. Mathematik / Dep. of Mathematics
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.