On the Diophantine equation \(1 + 2^a + x^b = y^n\)

DOI10.1016/j.jnt.2014.03.010zbMath1353.11060OpenAlexW2320771254MaRDI QIDQ740364

István Pink, Lajos Hajdu

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.03.010

zbMATH Keywords

Baker's methodlocal methodpolynomial-exponential Diophantine equations

Mathematics Subject Classification ID

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

Related Items (5)

The polynomial-exponential equation \(1 + 2^a + 6^b = y^q\) ⋮ Unnamed Item ⋮ A Hasse-type principle for exponential Diophantine equations and its applications ⋮ Unnamed Item ⋮ On the binary digits of \(n\) and \(n^2\)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
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