Fast evaluation of some p-adic transcendental functions
Symbolic Computation
2021-06-18 v1 Number Theory
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-linear complexity with respect to the target precision and most of them are based on an adaptation to the-adic setting of the binary splitting and bit-burst strategies.
Keywords
Cite
@article{arxiv.2106.09315,
title = {Fast evaluation of some p-adic transcendental functions},
author = {Xavier Caruso and Marc Mezzarobba and Nobuki Takayama and Tristan Vaccon},
journal= {arXiv preprint arXiv:2106.09315},
year = {2021}
}