On continued fraction development of quadratic irrationals having all periodic terms but last equal and associated general solutions of the Pell equation

DOI10.1016/j.jnt.2013.10.008zbMath1296.11004OpenAlexW2042434937WikidataQ56972343 ScholiaQ56972343MaRDI QIDQ2637194

Vladimir Pletser

Publication date: 7 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.10.008

zbMATH Keywords

continued fractionsPell equationFibonacci polynomials

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Continued fractions and generalizations (11J70) Continued fractions (11A55) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

General solutions of sums of consecutive cubed integers equal to squared integers

Cites Work

• Shrinking the period lengths of continued fractions while still capturing convergents
• On continued fractions of given period
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