The degree of regularity of the equation \(\sum_{i=1}^nx_i=\sum_{i=1}^ny_i+b\) (Q1681902)
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scientific article; zbMATH DE number 6812851
| Language | Label | Description | Also known as |
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| English | The degree of regularity of the equation \(\sum_{i=1}^nx_i=\sum_{i=1}^ny_i+b\) |
scientific article; zbMATH DE number 6812851 |
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The degree of regularity of the equation \(\sum_{i=1}^nx_i=\sum_{i=1}^ny_i+b\) (English)
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24 November 2017
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The authors confirm a conjecture on the maximal degree of regularity of the equation \(\sum_{i=1}^{n}x_{i}=\sum_{i=1}^{n}y_{i}+b\), which was introduced by \textit{J. Fox} and \textit{D. J. Kleitman} [J. Comb. Theory, Ser. A 113, No. 1, 84--100 (2006; Zbl 1085.05063)], by using the properties related to the sets with doubling\(<4\). The proof is nicely presented and clearly understandable.
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Fox-Kleitman conjecture
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inverse problems
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arithmetic regularity lemma
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0.8496878
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0.82018477
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0.81645596
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0.8155037
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