paper

On the complexity of p-adic continued fractions of rational number

arXiv:2405.14500 · doi:10.12691/tjant-10-1-2

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 theorem of Lame. We calculate the length of Browkin expansion, and the length of Schneider expansion. Also, some numerical examples have been given.

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