Abstract
We prove an automorphic spectral identity on GL2 involving second moments. From it we obtain an asymptotic, with powersaving error term, for (non-archimedean) conductor-aspect integral moments, twisting by GL1 characters ramifying at a fixed finite place. The strength of the spectral identity, and of the resulting asymptotics, is illustrated by extracting a subconvex bound in conductor aspect at a fixed finite prime.
Original language | English (US) |
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Pages (from-to) | 278-317 |
Number of pages | 40 |
Journal | Journal of Number Theory |
Volume | 133 |
Issue number | 1 |
DOIs | |
State | Published - 2013 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2012 Elsevier Inc. All rights reserved.
Keywords
- Automorphic L-functions
- Conductor aspect
- Integral moments
- Poincaré series
- Spectral decomposition
- Subconvexity