The degree of regularity of the equation \(\sum_{i=1}^nx_i=\sum_{i=1}^ny_i+b\)
type: Item
instance of: scholarly article
title: The degree of regularity of the equation \(\sum_{i=1}^nx_i=\sum_{i=1}^ny_i+b\)
zbMATH Open document ID: 1400.05258
author: Tomasz Schoen
author: Katarzyna Taczała
published in: Moscow Journal of Combinatorics and Number Theory
publication date: 2017-11-24T00:00:00Z
full work available at URL: http://mjcnt.phystech.edu/en/article.php
review text: 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.
reviewed by: M. P. Chaudhary
Mathematics Subject Classification ID: 05D10
Mathematics Subject Classification ID: 11P70
zbMATH DE Number: 6812851
zbMATH Keywords: Fox-Kleitman conjecture
zbMATH Keywords: inverse problems
zbMATH Keywords: arithmetic regularity lemma
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6812851