A polynomial-exponential equation related to the Ramanujan-Nagell equation

DOI10.1007/s11139-016-9878-xzbMath1428.11061OpenAlexW2588627281WikidataQ115602883 ScholiaQ115602883MaRDI QIDQ1743617

Takafumi Miyazaki

Publication date: 13 April 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9878-x

zbMATH Keywords

Ramanujan-Nagell equationpolynomial-exponential Diophantine equationsprimitive divisors of Lucas sequences

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Uses Software

• PARI/GP

Cites Work

• The diophantine equation \(x^2+7=2^n\)
• On the Diophantine equation \(x^2+D^m=p^n\)
• On the number of solutions of the generalized Ramanujan-Nagell equation
• Existence of primitive divisors of Lucas and Lehmer numbers
• THE DIOPHANTINE EQUATION A⁴ + 2^δB² = Cⁿ
• On the generalized Ramanujan-Nagell equation I
• Primitive Divisors of Lucas and Lehmer Sequences
• On some exponential Diophantine equations
• Unnamed Item
• Unnamed Item

This page was built for publication: A polynomial-exponential equation related to the Ramanujan-Nagell equation