The Diophantine equation 2𝑥²+1=3ⁿ

DOI10.1090/S0002-9939-03-07212-5zbMath1090.11022OpenAlexW2033205380MaRDI QIDQ4425395

Guan-Wei Li, Ming-Guang Leu

Publication date: 10 September 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07212-5

zbMATH Keywords

number of solutionsgeneralized Ramanujan-Nagell equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (6)

Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ On the Diophantine equation \(\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}\) ⋮ A GENERALIZATION OF THE RAMANUJAN–NAGELL EQUATION ⋮ On the Diophantine equation \(ax^2+by^2=ck^n\) ⋮ On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1 ⋮ Notes on the divisibility of the class numbers of imaginary quadratic fields \(\mathbb {Q}(\sqrt{3^{2e} - 4k^n})\)

Cites Work

• On the number of solutions of the generalized Ramanujan-Nagell equation
• On the diophantine equation $(x^3-1)/(x-1)=(y^n-1)/(y-1)$
• Unnamed Item

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