Pellian equations of special type

DOI10.1515/ms-2021-0074zbMath1497.11070OpenAlexW4206496783MaRDI QIDQ2063376

Ivan Soldo, Mirela Jukić Bokun

Publication date: 11 January 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2021-0074

zbMATH Keywords

quadratic fieldPellian equationDiophantine \(m\)-tuple

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09)

Uses Software

• OEIS

Cites Work

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• \(D(-1)\)-triples of the form \(\{1,b,c\}\) in the ring \(\mathbb Z[\sqrt{-t}\), \(t>0\)]
• A Pellian equation with primes and applications to \(D(-1)\)-quadruples
• On the extensibility of \(D(-1)\)-pairs containing Fermat primes
• An analytic criterion for the existence of infinitely many primes of the form \({1\over 2} (n^ 2 +1)\)
• THE NON-EXTENDIBILITY OF SOME PARAMETRIC FAMILIES OF D(-1)-TRIPLES
• On the extensibility of D(−1)-triples {1, b, c} in the ring \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \(\mathbb{Z}\left[ {\sqrt { - t} } \right\) \end{document}, t > 0]
• A Sieve Method for Factoring Numbers of the Form n 2 + 1
• Continued fractions and RSA with small secret exponent
• A family of quartic Thue inequalities

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