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R. Belhadef, H-A. Esbelin, On the Limits of Some p-adic Schneider Continued Fractions, Adv.Math.Sci.Jour., 10 (2021), 2581-2591.

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Article

On the Complexity of p-Adic Continued Fractions of Rational Number

1LMPA, Jijel University, BP 98, Jijel, Algeria

2LIMOS, Clermont Auvergne University, Aubière, France


Turkish Journal of Analysis and Number Theory. 2022, Vol. 10 No. 1, 4-11
DOI: 10.12691/tjant-10-1-2
Copyright © 2022 Science and Education Publishing

Cite this paper:
Rafik Belhadef, Henri-Alex Esbelin. On the Complexity of p-Adic Continued Fractions of Rational Number. Turkish Journal of Analysis and Number Theory. 2022; 10(1):4-11. doi: 10.12691/tjant-10-1-2.

Correspondence to: Rafik  Belhadef, LMPA, Jijel University, BP 98, Jijel, Algeria. Email: Belhadef_rafik@univ-jijel.dz, rbelhadef@gmail.com

Abstract

In this paper, we study the complexity of p-adic continued fractions of a rational number, which is the p-adic analogue of the Lame’s theorem. We calculate the length of Browkin expansion, and the length of Schneider expansion. Also, some numerical examples have been given.

Keywords