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- W2047701488 abstract "In this work, we applied the classical numerical method of the secant in the p-adic case to calculate the cubic root of a p-adic number $ainmathbb{Q}_{p}^{ast }$ where $p$ is a prime number, and this through the calculation of the approximate solution of the equation $x^{3}-a=0$. We also determined the rate of convergence of this method and evaluated the number of iterations obtained in each step of the approximation.Computing both the cubic root and other roots of a p-adic number is useful both for their theoretical values as for their theoretical applications in the field of theoretical computer science and cryptography." @default.
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- W2047701488 date "2011-08-01" @default.
- W2047701488 modified "2023-09-24" @default.
- W2047701488 title "Computation of the Cubic Root of a p-adic Number" @default.
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- W2047701488 doi "https://doi.org/10.5539/jmr.v3n3p40" @default.
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