Expansions at Cusps and Petersson Products in Pari/GP
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | COHEN, Henri | |
| dc.contributor.editor | Johannes Blümlein | |
| dc.contributor.editor | Carsten Schneider | |
| dc.contributor.editor | Peter Paule | |
| dc.date.accessioned | 2024-04-04T03:05:07Z | |
| dc.date.available | 2024-04-04T03:05:07Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193216 | |
| dc.description.abstractEn | We begin by explaining how to compute Fourier expansions at all cusps of any modular form of integral or half-integral weight thanks to a theorem of Borisov-Gunnells and explicit expansions of Eisenstein series at all cusps. Using this, we then give a number of methods for computing arbitrary Petersson products. All this is available in the current release of the Pari/GP package. | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.source.title | Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory | |
| dc.subject.en | Petersson products | |
| dc.subject.en | Modular forms | |
| dc.title.en | Expansions at Cusps and Petersson Products in Pari/GP | |
| dc.type | Chapitre d'ouvrage | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1809.10908 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.title.proceeding | Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory | |
| hal.identifier | hal-01883070 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01883070v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Elliptic%20Integrals,%20Elliptic%20Functions%20and%20Modular%20Forms%20in%20Quantum%20Field%20Theory&rft.date=2019&rft.au=COHEN,%20Henri&rft.genre=unknown |
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