On the Diophantine equation \(y^2-D=2^k\)

DOI10.1016/0022-314X(83)90016-1zbMath0515.10016MaRDI QIDQ1051673

Nicholas Tzanakis

Publication date: 1983

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

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Cubic and quartic Diophantine equations (11D25)

Related Items (3)

The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory ⋮ A note on the Diophantine equation \(x^2 =4p^n -4p^m +\ell^2\) ⋮ On the Diophantine equation \(y^2=4q^n+4q+1\)

Cites Work

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• Two-weight ternary codes and the equation \(y^2=4 \times 3^\alpha+13\)
• The Integer Points on Three Related Elliptic Curves
• The Diophantine equation $x^2+11=3^k$ and related questions.
• On the generalized Ramanujan-Nagell equation I
• Lucas and fibonacci numbers and some diophantine Equations

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