Kaneko, Ikuya (2022) Spectral exponential sums on hyperbolic surfaces. Ramanujan Journal . ISSN 1382-4090. doi:10.1007/s11139-022-00620-1. (In Press) https://resolver.caltech.edu/CaltechAUTHORS:20220908-231236714
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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.
| Item Type: | Article | ||||||
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| Additional Information: | The author acknowledges the support of the Masason Foundation and the Spirit of Ramanujan STEM Talent Initiative. | ||||||
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| DOI: | 10.1007/s11139-022-00620-1 | ||||||
| Record Number: | CaltechAUTHORS:20220908-231236714 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220908-231236714 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 116696 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Melissa Ray | ||||||
| Deposited On: | 08 Sep 2022 23:12 | ||||||
| Last Modified: | 08 Sep 2022 23:15 |
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