Fast evaluation of some p-adic transcendental functions
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| dc.contributor.author | CARUSO, Xavier | |
| hal.structure.identifier | Laboratoire d'informatique de l'École polytechnique [Palaiseau] [LIX] | |
| dc.contributor.author | MEZZAROBBA, Marc | |
| hal.structure.identifier | Kobe University | |
| dc.contributor.author | TAKAYAMA, Nobuki | |
| hal.structure.identifier | XLIM [XLIM] | |
| dc.contributor.author | VACCON, Tristan | |
| dc.date.accessioned | 2024-04-04T02:46:18Z | |
| dc.date.available | 2024-04-04T02:46:18Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191537 | |
| dc.description.abstractEn | We design algorithms for computing values of many p-adic elementary and special functions, including logarithms, exponentials, polylogarithms, and hypergeometric functions. All our algorithms feature a quasi-linearccomplexity with respect to the target precision and most of them are based on an adaptation to the p-adic setting of the binary splitting and bit-burst strategies. | |
| dc.language.iso | en | |
| dc.subject.en | Algorithms | |
| dc.subject.en | p-adic numbers | |
| dc.subject.en | differential equations | |
| dc.subject.en | binary splitting | |
| dc.title.en | Fast evaluation of some p-adic transcendental functions | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Informatique [cs]/Calcul formel [cs.SC] | |
| dc.identifier.arxiv | 2106.09315 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03263044 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03263044v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CARUSO,%20Xavier&MEZZAROBBA,%20Marc&TAKAYAMA,%20Nobuki&VACCON,%20Tristan&rft.genre=preprint |
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