| dc.contributor.advisor | Blomer, Valentin Prof. Dr. | |
| dc.contributor.author | Waibel, Fabian | |
| dc.date.accessioned | 2020-09-24T13:39:55Z | |
| dc.date.available | 2020-09-24T13:39:55Z | |
| dc.date.issued | 2020-09-24 | |
| dc.identifier.uri | http://hdl.handle.net/21.11130/00-1735-0000-0005-1496-B | |
| dc.identifier.uri | http://dx.doi.org/10.53846/goediss-8208 | |
| dc.language.iso | eng | de |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject.ddc | 510 | de |
| dc.title | Arithmetic and analytical aspects of Siegel modular forms | de |
| dc.type | doctoralThesis | de |
| dc.contributor.referee | Blomer, Valentin Prof. Dr. | |
| dc.date.examination | 2020-06-25 | |
| dc.description.abstracteng | This dissertation treats various topics in the theory of Siegel modular forms on congruence subgroups of large level. In the first part, we compute a second moment of the spinor L-function at the central point and give applications to non-vanishing. Then, we establish an asymptotic formula for the number of representations of a binary quadratic form by an integral quadratic form of rank ≥ 12. Along the way, we improve previous bounds for the classical theta series and give uniform bounds for the Fourier coefficients of Klingen-Eisenstein series. | de |
| dc.contributor.coReferee | Brüdern, Jörg Prof. Dr. | |
| dc.subject.eng | Modular forms | de |
| dc.subject.eng | Theta series | de |
| dc.subject.eng | Eisenstein series | de |
| dc.subject.eng | Quadratic forms | de |
| dc.identifier.urn | urn:nbn:de:gbv:7-21.11130/00-1735-0000-0005-1496-B-0 | |
| dc.affiliation.institute | Fakultät für Mathematik und Informatik | de |
| dc.subject.gokfull | Mathematik (PPN61756535X) | de |
| dc.identifier.ppn | 1733713638 | |