Results 111 to 120 of about 3,148,152 (262)

A Survey on the ternary purely exponential diophantine equation ax + by = cz [PDF]

open access: yesSurveys in Mathematics and its Applications, 2019
Let a, b, c be fixed coprime positive integers with min(a,b,c)>1. In this survey, we consider some unsolved problems and related works concerning the positive integer solutions (x,y,z) of the ternary purely exponential diophantine equation ax + by = cz.
Maohua Le, Reese Scott, Robert Styer
doaj  

Undecidable diophantine equations [PDF]

open access: yesBulletin of the American Mathematical Society, 1980
openaire   +2 more sources

On the youthful writings of Louis J. Mordell on the Diophantine equation $$y^2-k=x^3$$

open access: yesArchive for History of Exact Sciences, 2019
S. Gauthier, François Lê
semanticscholar   +1 more source

A Pair of Diophantine Equations Involving the Fibonacci Numbers [PDF]

open access: green
Xiang'en CHEN   +7 more
openalex   +1 more source

On the Diophantine Equation $(8r^2+1)^x+(r^2-1)^y=(3r)^z$ Regarding Terai's Conjecture

open access: yesCommunications in Advanced Mathematical Sciences
This study establishes that the sole positive integer solution to the exponential Diophantine equation $(8r^2+1)^x+(r^2-1)^y=(3r)^z$ is $(x,y,z)=(1,1,2)$ for all $r>1$.
Murat Alan, Tuba Çokoksen
doaj   +1 more source

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