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Pell's equations \(X^ 2-mY^ 2=-1,-4\) and continued fractions

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Publication:1078225
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DOI10.1016/0022-314X(86)90087-9zbMath0596.10013OpenAlexW1971846987MaRDI QIDQ1078225

Pierre Kaplan, Kenneth S. Williams

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(86)90087-9


zbMATH Keywords

congruencesPell equationcontinued fraction expansionperiod lengthquadratic diophantine equation


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55)


Related Items (8)

Monogenic biquadratic fields ⋮ Über Pell'sche Gleichungen und Kettenbrüche. (On Pell equations and continued fractions) ⋮ Pell-type equations and class number of the maximal real subfield of a cyclotomic field ⋮ Perfect numbers and Fibonacci primes (I) ⋮ Continued fractions and certain real quadratic fields of minimal type ⋮ On differences of two squares in some quadratic fields ⋮ The Diophantine equation \(x^2-(t^2+t)y^2- (4t+2)x+(4t^2+4t)y=0\) ⋮ Fractions of the period of the continued fraction expansion of quadratic integers



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