Voronoï summation via switching cusps
| dc.contributor.author | Assing, E | |
| dc.contributor.author | Corbett, A | |
| dc.date.accessioned | 2021-02-23T10:28:15Z | |
| dc.date.issued | 2021-02-22 | |
| dc.description.abstract | We consider the Fourier expansion of a Hecke (resp. Hecke–Maaß) cusp form of general level N at the various cusps of Γ0(N)∖H. We explain how to compute these coefficients via the local theory of p-adic Whittaker functions and establish a classical Voronoï summation formula allowing an arbitrary additive twist. Our discussion has applications to bounding sums of Fourier coefficients and understanding the (generalised) Atkin–Lehner relations. | en_GB |
| dc.identifier.citation | Published online 22 February 2021 | en_GB |
| dc.identifier.doi | 10.1007/s00605-021-01537-5 | |
| dc.identifier.uri | http://hdl.handle.net/10871/124847 | |
| dc.language.iso | en | en_GB |
| dc.publisher | Springer | en_GB |
| dc.rights | © The Author(s) 2021.Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ | en_GB |
| dc.subject | Automorphic forms | en_GB |
| dc.subject | Vornoi summation | en_GB |
| dc.subject | Fourier coefficients | en_GB |
| dc.title | Voronoï summation via switching cusps | en_GB |
| dc.type | Article | en_GB |
| dc.date.available | 2021-02-23T10:28:15Z | |
| dc.identifier.issn | 0026-9255 | |
| dc.description | This is the final version. Available on open access from Springer via the DOI in this record | en_GB |
| dc.identifier.journal | Monatshefte für Mathematik | en_GB |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_GB |
| dcterms.dateAccepted | 2021-02-06 | |
| rioxxterms.version | VoR | en_GB |
| rioxxterms.licenseref.startdate | 2021-02-22 | |
| rioxxterms.type | Journal Article/Review | en_GB |
| refterms.dateFCD | 2021-02-23T10:26:20Z | |
| refterms.versionFCD | VoR | |
| refterms.dateFOA | 2021-02-23T10:28:39Z | |
| refterms.panel | B | en_GB |
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Except where otherwise noted, this item's licence is described as © The Author(s) 2021.Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/