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 PublishingCite 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.comAbstract
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.
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