A step towards the \(3k - 4\) conjecture in \(\mathbb{Z}/p\mathbb{Z}\) and an application to \(m\)-sum-free sets
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Publication:6621175
D. J. Grynkiewicz, Pablo Candela, Diego Gonzalez-Sanchez
Publication date: 18 October 2024
Published in: Acta Mathematica Universitatis Comenianae. New Series (Search for Journal in Brave)
Other combinatorial number theory (11B75) Arithmetic progressions (11B25) Inverse problems of additive number theory, including sumsets (11P70)
Cites Work
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- On Roth's theorem on progressions
- On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime
- Large sets with small doubling modulo \(p\) are well covered by an arithmetic progression
- Maximal sets with no solution to \(x+y=3z\)
- Maximum subsets of \((0,1]\) with no solutions to \(x+y = kz\)
- Structural additive theory. Based on courses given at Karl-Franzens-Universität Graz, Austria, 2008--2012
- Sets with no solutions to \(x+y=3z\)
- The structure of maximum subsets of \(\{1,\dots,n\}\) with no solutions to \(a+b=kc\)
- A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.
- The Critical Pairs of Subsets of a Group of Prime Order
- SETS WITH SMALL SUMSET AND RECTIFICATION
- On sets with small sumset in the circle
- On Certain Sets of Integers
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