Unified Treatment of Explicit and Trace Formulas via Poisson-Newton Formula
| dc.contributor.author | Muñoz, Vicente | |
| dc.contributor.author | Marcos Peréz, Ricardo | |
| dc.date.accessioned | 2023-06-19T14:53:55Z | |
| dc.date.available | 2023-06-19T14:53:55Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We prove that a Poisson-Newton formula, in a broad sense, is associated to each Dirichlet series with a meromorphic extension to the whole complex plane of finite order. These formulas simultaneously generalize the classical Poisson formula and Newton formulas for Newton sums. Classical Poisson formulas in Fourier analysis, explicit formulas in number theory and Selberg trace formulas in Riemannian geometry appear as special cases of our general Poisson-Newton formula. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Spanish MICINN | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/30122 | |
| dc.identifier.doi | 10.1007/s00220-015-2312-1 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.officialurl | http://link.springer.com/article/10.1007%2Fs00220-015-2312-1 | |
| dc.identifier.relatedurl | http://link.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/34630 | |
| dc.issue.number | 3 | |
| dc.journal.title | Communications in Mathematical Physics | |
| dc.language.iso | eng | |
| dc.page.final | 1230 | |
| dc.page.initial | 1201 | |
| dc.publisher | Springer | |
| dc.relation.projectID | MTM2010-17389 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 511 | |
| dc.subject.keyword | Dirichlet series | |
| dc.subject.keyword | Poisson formula | |
| dc.subject.keyword | Explicit formula | |
| dc.subject.keyword | Trace Formula | |
| dc.subject.ucm | Teoría de números | |
| dc.subject.unesco | 1205 Teoría de Números | |
| dc.title | Unified Treatment of Explicit and Trace Formulas via Poisson-Newton Formula | |
| dc.type | journal article | |
| dc.volume.number | 336 | |
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| dspace.entity.type | Publication |
