The Size of the Fundamental Solutions of Consecutive Pell Equations

DOI10.1080/10586458.2000.10504666zbMath0961.11007OpenAlexW2037085086MaRDI QIDQ2706543

Hugh C. Williams, Michael J. Jacobson jun.

Publication date: 19 March 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1045759528

zbMATH Keywords

real quadratic fieldcontinued fractionsPell equations

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Quadratic and bilinear Diophantine equations (11D09) Algebraic number theory computations (11Y40)

Related Items (1)

A computational approach for solving $y^2=1^k+2^k+\dotsb+x^k$

Uses Software

• LiDIA

Cites Work

• The size of \(L(1,\chi)\) for real nonpricipal residue characters \(\chi\) with prime modulus
• Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit)
• Some results on pseudosquares
• An Investigation of Bounds for the Regulator of Quadratic Fields
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