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

Published 23 May 2024 in math.NT | (2405.14500v2)

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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