Published September 8, 2022
| public
Journal Article
Spectral exponential sums on hyperbolic surfaces
- Creators
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Kaneko, Ikuya
Abstract
We study an exponential sum over Laplacian eigenvalues of Maaß forms on Γ∖ℍ, where Γ is a congruence subgroup of SL₂(ℤ) and ℍ is the upper half-plane. The goal is to establish an asymptotic formula that expresses the spectral exponential sum in terms of an oscillatory main term, the von Mangoldt function and the Selberg zeta function.
Additional Information
The author acknowledges the support of the Masason Foundation and the Spirit of Ramanujan STEM Talent Initiative.Additional details
- Eprint ID
- 116696
- Resolver ID
- CaltechAUTHORS:20220908-231236714
- Masason Foundation
- Spirit of Ramanujan STEM Talent Initiative
- Created
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2022-09-08Created from EPrint's datestamp field
- Updated
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2022-09-08Created from EPrint's last_modified field