Results 111 to 120 of about 3,148,152 (262)
A Survey on the ternary purely exponential diophantine equation ax + by = cz [PDF]
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]
openaire +2 more sources
The approximate functional equation of some Diophantine series. [PDF]
Chamizo F, Martin B.
europepmc +1 more source
On the youthful writings of Louis J. Mordell on the Diophantine equation $$y^2-k=x^3$$
S. Gauthier, François Lê
semanticscholar +1 more source
Lucas and fibonacci numbers and some diophantine Equations [PDF]
J. H. E. Cohn
openalex +1 more source
A Pair of Diophantine Equations Involving the Fibonacci Numbers [PDF]
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
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
Diophantine equations with products of consecutive terms in Lucas sequences II [PDF]
Florian Luca, T. N. Shorey
openalex +1 more source

