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Representation of every rational number as an algebraic sum of fifth powers of rational numbers - MaRDI portal

Representation of every rational number as an algebraic sum of fifth powers of rational numbers (Q1262883)

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scientific article; zbMATH DE number 4125471
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Representation of every rational number as an algebraic sum of fifth powers of rational numbers
scientific article; zbMATH DE number 4125471

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    Representation of every rational number as an algebraic sum of fifth powers of rational numbers (English)
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    1989
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    A parametric solution to the diophantine equation \(x^ 5_ 1+x^ 5_ 2+...+x^ 5_ 6=0\) is found. It is also shown that all rational numbers are sums of six fifth powers of rationals.
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    representation of rationals
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    higher degree diophantine equations
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    parametric solution
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    sums of six fifth powers of rationals
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