Results 1 to 10 of about 106 (53)

On Diophantine approximation by unlike powers of primes

open access: yesOpen Mathematics, 2019
Suppose that λ1, λ2, λ3, λ4, λ5 are nonzero real numbers, not all of the same sign, λ1/λ2 is irrational, λ2/λ4 and λ3/λ5 are rational. Let η real, and ε > 0.
Ge Wenxu, Li Weiping, Wang Tianze
exaly   +2 more sources

On the exponential Diophantine equation mx+(m+1)y=(1+m+m2)z

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Let m > 1 be a positive integer. We show that the exponential Diophantine equation mx + (m + 1)y = (1 + m + m2)z has only the positive integer solution (x, y, z) = (2, 1, 1) when m ≥ 2.
Alan Murat
doaj   +1 more source
Some of the next articles are maybe not open access.

Underapproximation by Egyptian fractions

Journal of Number Theory, 2023
Melvyn B Nathanson
exaly  

On the Exponential Diophantine Equation $$(m^2+m+1)^x+m^y=(m+1)^z $$

Mediterranean Journal of Mathematics, 2020
Murat Alan
exaly  

On Hellegouarch's definition of musical scales

Journal of Mathematics and Music, 2010
Christian Kassel
exaly  

An Application of Integer Programming to the Decomposition of Numerical Semigroups

SIAM Journal on Discrete Mathematics, 2012
Victor Blanco, Justo Puerto
exaly  

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