On the diophantine equation \(D_ 1 x^ 2+ D^ m_ 2= 4y^ n\)

DOI10.1007/BF01585912zbMath0877.11020OpenAlexW122335583MaRDI QIDQ1902523

Maohua Le

Publication date: 20 October 1997

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178697

zbMATH Keywords

class numberimaginary quadratic fieldexponential diophantine equations

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (6)

On the Diophantine equation \(dx^2+p^{2a}q^{2b}=4y^p\) ⋮ On Lebesgue–Ramanujan–Nagell Type Equations ⋮ Solutions of some generalized Ramanujan-Nagell equations ⋮ On the Diophantine equation \(cx^2+p^{2m}=4y^n\) ⋮ A bound for the solutions of the Diophantine equation \(D_1x^2+D_2^m=4y^n\) ⋮ On the Diophantine equation \(ax^2+by^2=ck^n\)

Cites Work

• Unnamed Item
• Die Anzahl von Lösungen gewisser diophantischer Gleichungen
• A diophantine equation concerning the divisibility of the class number for some imaginary quadratic fields
• On the diophantine equation \(x^2+D=4y^q\)
• On a diophantine equation in two unknowns
• Linear forms in two logarithms and Schneider's method (III)
• New theorems concerning the diophantine equation $x^2 + D =4y^q$

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