Expansions at Cusps and Petersson Products in Pari/GP
Overview & Synopsis
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.
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hal.science)
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Document Information
| Document Title | Expansions at Cusps and Petersson Products in Pari/GP |
|---|---|
| Author / Organization | Henri Cohen |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2019 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-58647 |
| Original Source Link | Visit Source Page on hal.science » |