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- W1480041526 abstract "The nearest integer continued fractions of Hurwitz, Minnegerode (NICF-H) and in Perron's book Die Lehre von den Kettenbruchen (NICF-P) are closely related. Mid- point criteria for solving Pell's equation x 2 − Dy 2 = ±1 in terms of the NICF-H expansion of √ D were derived by H. C. Williams using singular continued fractions. We derive these criteria without the use of singular continued fractions. We use an algorithm for converting the regular continued fraction expansion of √ D to its NICF-P expansion." @default.
- W1480041526 created "2016-06-24" @default.
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- W1480041526 date "2009-01-01" @default.
- W1480041526 modified "2023-09-26" @default.
- W1480041526 title "Unisequences and nearest integer continued fraction midpoint criteria for Pell’s equation" @default.
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