The diophantine equation \(x^ 2=4q^ n-4q+1\)

DOI10.2140/pjm.1989.139.303zbMath0687.10012OpenAlexW1561880580MaRDI QIDQ1262885

Christopher M. Skinner

Publication date: 1989

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1989.139.303

zbMATH Keywords

unique factorizationRamanujan equationhigher degree diophantine equationlinear binary recurrence

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41)

Related Items (7)

On the diophantine equation 𝑥²=4𝑞^{𝑚}-4𝑞ⁿ+1 ⋮ Affine groups and flag-transitive triplanes ⋮ On the Diophantine equation \(x^2 - 4p^m = \pm y^n\) ⋮ On the diophantine equation \(x^ 2+D=4p^ n\) ⋮ Unnamed Item ⋮ A GENERALIZATION OF THE RAMANUJAN–NAGELL EQUATION ⋮ A note on the Diophantine equation \(x^2 =4p^n -4p^m +\ell^2\)

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