On the diophantine equation \(1+x+y=z\)

DOI10.1216/rmjm/1181072793zbMath0760.11013OpenAlexW2002605556WikidataQ60174250 ScholiaQ60174250MaRDI QIDQ1193040

Lorraine L. Foster, Leo J. Alex

Publication date: 27 September 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072793

zbMATH Keywords

exponential diophantine equation\(S\)-unit equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (5)

The complete solution of the Diophantine equation \((4m^2 + 1)^x + (5m^2 - 1)^y = (3m)^z\) ⋮ The resolution of three exponential Diophantine equations in several variables ⋮ Polynomial cycles in certain rings of rationals ⋮ A Hasse-type principle for exponential Diophantine equations and its applications ⋮ On the Diophantine equation \(1 + 2^a + x^b = y^n\)

Cites Work

• Unnamed Item
• On diophantine equations of the form 1+2**alpha=(p**i)(q**j)+(2**k)(p**m)(q**n)
• Simple groups and a Diophantine equation
• On the diophantine equation \(1+p^ a=2^ b+2^ c\,p^ d\)
• Diophantine equations related to finite groups
• Exponential diophantine equations

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