On the diophantine equation \(2x^ 3+1=py^ 2\)

DOI10.1007/BF01171704zbMath0588.10017OpenAlexW2317388969MaRDI QIDQ1073067

Nicholas Tzanakis

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/155106

zbMATH Keywords

class number 2cubic diophantine equationshyperelliptic equationp- adic method

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23) Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41)

Related Items (1)

On the application of Skolem's p-adic method to the solution of Thue equations

Cites Work

• The diophantine equation \(x^3-3xy^2-y^3=1\) and related equations
• Integral generators in a certain quartic field and related diophantine equations
• On Mordell's equation \(y^2-k=x^3\): an interesting case of Sierpiński
• Integer Points on y 2 = x 3 - 7x + 10
• Über die Kennzeichnung zweiklassiger imaginär-quadratischer Zahlkörper durch Lösungen diophantischer Gleichungen.
• Algebraic Number-Fields with two Independent Units
• On the diophantine equation y²-k=x³

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