The exponential Diophantine equation \(\left(4 m^2 + 1\right)^x + \left(5 m^2 - 1\right)^y = (3 m)^z\)

DOI10.1155/2014/670175zbMath1474.11100OpenAlexW1977972851WikidataQ59040437 ScholiaQ59040437MaRDI QIDQ1724695

Juanli Su, Xiaoxue Li

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/670175

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (3)

A parametric family of ternary purely exponential Diophantine equation $A^x+B^y=C^z$ ⋮ On the Diophantine equation (( c + 1) m 2 + 1) x + ( cm 2 ⋮ A note on the exponential Diophantine equation \((rlm^2-1)^x+(r(r-l)m^2+1)^y=(rm)^z\)

Cites Work

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• Existence of primitive divisors of Lucas and Lehmer numbers
• On the system of Diophantine equations a²+b²=(m²+1)^rand a^x+b^y=(m²+1)^z
• Jeśmanowicz' conjecture with congruence relations
• THE DIOPHANTINE EQUATION (2am - 1)^x + (2m)^y = (2am + 1)^z
• Primitive Divisors of Lucas and Lehmer Sequences
• TERAI'S CONJECTURE ON EXPONENTIAL DIOPHANTINE EQUATIONS

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