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Midpoint criteria for solving Pell’s equation using the nearest square continued fraction

Matthews, Keith; Robertson, John; White, Jim

Description

We derive midpoint criteria for solving Pell’s equation x2 −Dy2 = ±1, using the nearest square continued fraction expansion of √D. The period of the expansion is on average 70% that of the regular continued fraction.

CollectionsANU Research Publications
Date published: 2010-01
Type: Journal article
URI: http://hdl.handle.net/1885/95164
Source: Mathematics of Computation
DOI: 10.1090/S0025-5718-09-02286-8

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