24 citations · 60 across the 22 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
cs.SC2021
Fast evaluation of some p-adic transcendental functions
Xavier Caruso, Marc Mezzarobba, Nobuki Takayama +1
We design algorithms for computing values of many p-adic elementary and special functions, including logarithms, exponentials, polylogarithms, and hypergeometric functions. All our…
cs.SC2021
On FGLM Algorithms with Tate Algebras
Xavier Caruso, Tristan Vaccon, Thibaut Verron
Tate introduced in [Ta71] the notion of Tate algebras to serve, in the context of analytic geometry over the-adics, as a counterpart of polynomial algebras in classical algebraic g…