dc.contributor.author | Pitale, A | en_US |
dc.contributor.author | Saha, A | en_US |
dc.contributor.author | Schmidt, R | en_US |
dc.date.accessioned | 2017-08-23T09:51:45Z | |
dc.date.available | 2016-12-01 | en_US |
dc.date.issued | 2017-10-01 | en_US |
dc.date.submitted | 2017-08-15T15:08:40.620Z | |
dc.identifier.issn | 0025-5874 | en_US |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/25411 | |
dc.description | 30 pages, minor changes. This is a slightly expanded version of the article that has been submitted by us to a journal. A preprint of the shorter version can be downloaded from the webpage of any of the authors | |
dc.description.abstract | We characterize the irreducible, admissible, spherical representations of GSp(4,F) (where F is a p-adic field) that occur in certain CAP representations in terms of relations satisfied by their spherical vector in a special Bessel model. These local relations are analogous to the Maass relations satisfied by the Fourier coefficients of Siegel modular forms of degree 2 in the image of the Saito-Kurokawa lifting. We show how the classical Maass relations can be deduced from the local relations in a representation theoretic way, without recourse to the construction of Saito-Kurokawa lifts in terms of Fourier coefficients of half-integral weight modular forms or Jacobi forms. As an additional application of our methods, we give a new characterization of Saito-Kurokawa lifts involving a certain average of Fourier coefficients. | en_US |
dc.format.extent | 655 - 677 | en_US |
dc.publisher | Springer Verlag | en_US |
dc.relation.ispartof | Mathematische Zeitschrift | en_US |
dc.rights | This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. | |
dc.subject | math.NT | en_US |
dc.subject | math.NT | en_US |
dc.title | Local and global Maass relations | en_US |
dc.type | Article | |
dc.rights.holder | © The Author(s) 2017 | |
dc.identifier.doi | 10.1007/s00209-016-1840-5 | en_US |
pubs.author-url | http://arxiv.org/abs/1401.3597v2 | en_US |
pubs.issue | 1-2 | en_US |
pubs.notes | Not known | en_US |
pubs.publication-status | Published | en_US |
pubs.volume | 287 | en_US |
dcterms.dateAccepted | 2016-12-01 | en_US |