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arXiv · 2405.14500

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

Rafik Belhadef·Henri-Alex Esbelin
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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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Rafik Belhadef, Henri-Alex Esbelin. 2024-05-23. On the complexity of p-adic continued fractions of rational number. https://doi.org/10.12691/tjant-10-1-2

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