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.
Bibliographical noteFunding Information:
This research was partially supported by NSF grant DMS-0652488. E-mail address: firstname.lastname@example.org.
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- Automorphic L-functions
- Conductor aspect
- Integral moments
- Poincaré series
- Spectral decomposition