Waring-Hilbert problem on Cantor sets (Q2041110)
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scientific article; zbMATH DE number 7371948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Waring-Hilbert problem on Cantor sets |
scientific article; zbMATH DE number 7371948 |
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Waring-Hilbert problem on Cantor sets (English)
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15 July 2021
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The paper study several variants of the Waring's problem. More precisely, some typical results are the following: (a) Every element of the closed interval \([0,1]\) is a sum of \(6^m\) \(m\)-th powers of elements in the Cantor set. (b) Every element of \([\frac{88}{243},7]\) is a sum of \(7\) cubes of elements in the Cantor set. (c) Every element of \([0,8]\) is a sum of \(8\) cubes of elements in the Cantor set.
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Waring's problem
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Cantor set
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Lagrange's four-square theorem
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