On the number of positive integer solutions \((x, n)\) of the generalized Ramanujan-Nagell equation \(x^2-2^r = p^n\)

DOI10.1007/s10998-016-0173-9zbMath1399.11106OpenAlexW2551228764MaRDI QIDQ1705826

Yingzhao Jiang, Ting-Ting Wang

Publication date: 16 March 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0173-9

zbMATH Keywords

number of solutionsupper bound estimategeneralized Ramanujan-Nagell equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Cites Work

• On the Diophantine equation \(x^2= y^p+2^kz^p\)
• Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation
• A note on the number of solutions of the generalized Ramanujan-Nagell equation x 2 − D = p n
• Some Computational Results on a Problem Concerning Powerful Numbers
• On the generalized Ramanujan-Nagell equation $x^{2} - D = p^{n}$
• On the generalized Ramanujan-Nagell equation, II
• Ternary Diophantine Equations via Galois Representations and Modular Forms

This page was built for publication: On the number of positive integer solutions \((x, n)\) of the generalized Ramanujan-Nagell equation \(x^2-2^r = p^n\)