dc.contributor.advisor | Asgari, Mahdi | |
dc.contributor.author | Maiti, Ayan | |
dc.date.accessioned | 2023-04-05T16:21:03Z | |
dc.date.available | 2023-04-05T16:21:03Z | |
dc.date.issued | 2022-07 | |
dc.identifier.uri | https://hdl.handle.net/11244/337298 | |
dc.description.abstract | We generalize the work of E. Lindenstrauss and A. Venkatesh establishing Weyl's Law for cusp forms from the spherical spectrum to arbitrary Archimedean type. Weyl's law for the spherical spectrum gives an asymptotic formula for the number of cusp forms that are bi-K∞ invariant in terms of eigenvalue of the Laplacian. We prove an analogous asymptotic holds for cusp forms with Archimedean type 𝜏, where the main term is multiplied by dim 𝜏. While in the spherical case the surjectivity of the Satake Map was used, in the more general case that is not available and we use Arthur's Paley-Wiener theorem and multipliers. | |
dc.format | application/pdf | |
dc.language | en_US | |
dc.rights | Copyright is held by the author who has granted the Oklahoma State University Library the non-exclusive right to share this material in its institutional repository. Contact Digital Library Services at lib-dls@okstate.edu or 405-744-9161 for the permission policy on the use, reproduction or distribution of this material. | |
dc.title | Weyl's Law for cusp forms of arbitrary Archimedean type | |
dc.contributor.committeeMember | Balasundaram, Baski | |
dc.contributor.committeeMember | Zierau, Roger | |
dc.contributor.committeeMember | Wright, David | |
osu.filename | Maiti_okstate_0664D_17776.pdf | |
osu.accesstype | Open Access | |
dc.type.genre | Dissertation | |
dc.type.material | Text | |
dc.subject.keywords | automorphic forms and representaion | |
dc.subject.keywords | cusp forms | |
dc.subject.keywords | cuspidality condition | |
dc.subject.keywords | number theory | |
dc.subject.keywords | Weyl's Law | |
thesis.degree.discipline | Mathematics | |
thesis.degree.grantor | Oklahoma State University | |