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Fast evaluation of some p-adic transcendental functions

Abstract : 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.
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Preprints, Working Papers, ...
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https://hal-cnrs.archives-ouvertes.fr/hal-03263044
Contributor : Xavier Caruso Connect in order to contact the contributor
Submitted on : Wednesday, June 16, 2021 - 9:35:19 PM
Last modification on : Wednesday, March 16, 2022 - 3:43:52 AM
Long-term archiving on: : Friday, September 17, 2021 - 7:34:02 PM

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  • HAL Id : hal-03263044, version 1
  • ARXIV : 2106.09315

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Xavier Caruso, Marc Mezzarobba, Nobuki Takayama, Tristan Vaccon. Fast evaluation of some p-adic transcendental functions. 2021. ⟨hal-03263044⟩

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