A diophantine equation concerning the divisibility of the class number for some imaginary quadratic fields

DOI10.1016/0019-3577(93)90052-ZzbMath0783.11011OpenAlexW2034450947MaRDI QIDQ2367456

Maohua Le

Publication date: 15 August 1993

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(93)90052-z

zbMATH Keywords

class numberimaginary quadratic fieldsdivisibilityhigher degree diophantine equationlinear forms in logarithms of two algebraic numbers

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Higher degree equations; Fermat's equation (11D41)

Related Items (1)

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

Cites Work

• Die Anzahl von Lösungen gewisser diophantischer Gleichungen
• On the Diophantine equation \(Cx^ 2 +D = y^ n\)
• 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)
• On the divisibility of the class number of the imaginary quadratic field ℚ ( $$\sqrt {a^2 - 4k^n } $$ )
• On the diophantine equation $Y^2+K=X^5$
• New theorems concerning the diophantine equation $x^2 + D =4y^q$
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