Subconvexity bounds in depth-aspect for automorphic L-functions on GL(2)

2009/04/07 by Delia Letang, Letang, Delia
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0904.1028

openalex publication_date 2009/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

From a spectral identity we obtain asymptotics with error term for the second integral moments of families of automorphic L-functions for GL(2) over an arbitrary number field according to twists by idele characters with arbitrary ramification at a fixed finite place. The power-saving in the error term breaks convexity at this non-archimedean place.

Citations

• On Euler Products and the Classification of Automorphic Representations I
• Cuspidality of symmetric powers with applications

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