On Diophantine equation \(3a^2x^4 - By^2 = 1\)

DOI10.1007/s10231-010-0131-8zbMath1231.11033OpenAlexW2484703834WikidataQ57668473 ScholiaQ57668473MaRDI QIDQ711464

Debiao He, Yu Wang, Jian-Hua Chen

Publication date: 26 October 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0131-8

zbMATH Keywords

quartic Diophantine equationquadratic reciprocity law

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25)

Cites Work

• Complete solution of the diophantine equation \(X^ 2+1=dY^ 4\) and a related family of quartic Thue equations
• The Diophantine equation $b^2X^4-dY^2=1$
• A note on the diophantine equation a²x⁴-By²=1
• On the diophantine equation D₁x⁴ -D₂y² = 1
• A GENERALIZATION OF A THEOREM OF BUMBY ON QUARTIC DIOPHANTINE EQUATIONS
• On the Diophantine Equation $Ax^4-By^2=C$, ($C=1,4$).
• The Diophantine Equation $3x^4-2y^2=1$.
• Unnamed Item

This page was built for publication: On Diophantine equation \(3a^2x^4 - By^2 = 1\)