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Diophantine inequalities with mixed powers

open access: yesJournal of Number Theory, 1977
AbstractIt is shown that λ1, λ2,…, λ6, μ are not all of the same sign and at least one ratio λiλj is irrational then the values taken by λ1x13 + ⋯ + λ6x63 + μy3 for integer values of x1 ,…, x6, y are everywhere dense on the real line. A similar result holds for expressions of the form λ1x13 + ⋯ + λ4x43 + μ1y12 + μ2y23.
openaire   +2 more sources

Padovan numbers which are palindromic concatenations of two distinct repdigits. [PDF]

open access: yesRev R Acad Cienc Exactas Fis Nat A Mat, 2021
Chalebgwa TP, Ddamulira M.
europepmc   +1 more source

Summing μ ( n ) : a faster elementary algorithm. [PDF]

open access: yesRes Number Theory, 2023
Helfgott HA, Thompson L.
europepmc   +1 more source

Tribonacci numbers that are concatenations of two repdigits. [PDF]

open access: yesRev R Acad Cienc Exactas Fis Nat A Mat, 2020
Ddamulira M.
europepmc   +1 more source

On a Quadratic Diophantine Inequality [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
openaire   +2 more sources

On the frequency of height values. [PDF]

open access: yesRes Number Theory, 2021
Dill GA.
europepmc   +1 more source

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