Results 1 to 10 of about 28 (28)

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

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
doaj   +1 more source

An Invitation to Additive Prime Number Theory [PDF]

open access: yes, 2005
2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36, 11P05, 11P32, 11P55.The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number ...
Tolev, D., Kumchev, A.
core  

Another inequality inspired by Erdős

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
One less common inequality in positive integers is carefully examined.
Batíková Barbora   +2 more
doaj   +1 more source

A parametric family of quartic Thue inequalities

open access: yes, 2011
Secondary: 11A07, 11B37, 11D75, 11J68, 11J70 ...
Husna Zayadi
core  
Some of the next articles are maybe not open access.

On the abc conjecture, II

Duke Mathematical Journal, 2001
C L Stewart, Kunrui Yu
exaly  

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