An upper bound for least solutions of the exponential Diophantine equation D1x2 - D2y2 = λkz

DOI10.1142/S1793042115500608zbMath1353.11064OpenAlexW2156290978MaRDI QIDQ5253875

Hai Yang, Ruiqin Fu

Publication date: 5 June 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042115500608

zbMATH Keywords

upper boundexponential Diophantine equationleast solutionsolution class

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Exponential Diophantine equations (11D61)

Related Items (2)

Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\) ⋮ A note on the Diophantine equation \(x^2 =4p^n -4p^m +\ell^2\)

Cites Work

• Unnamed Item
• On the Diophantine equation \(nx^2+2^{2m}=y^n\)
• On some generalized Lebesgue-Nagell equations
• Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation
• Some exponential diophantine equations. I: The equation \(D_1x^2 - D_2y^2 = \lambda k^z\)
• On the number of solutions of the generalized Ramanujan-Nagell equation
• A note on the number of solutions of the generalized Ramanujan-Nagell equation x 2 − D = p n
• On the diophantine equation $(x^3-1)/(x-1)=(y^n-1)/(y-1)$

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