Erdős-Ginzburg-Ziv constants by avoiding three-term arithmetic progressions
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Publication:1753088
zbMath1390.11028arXiv1708.09100MaRDI QIDQ1753088
Publication date: 25 May 2018
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.09100
Ramsey theory (05D10) Arithmetic progressions (11B25) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (8)
New applications of the polynomial method: The cap set conjecture and beyond ⋮ Exponential bounds for the Erdős-Ginzburg-Ziv constant ⋮ Finding solutions with distinct variables to systems of linear equations over \(\mathbb{F}_p\) ⋮ Bounds on the higher degree Erdős-Ginzburg-Ziv constants over \({\mathbb{F}}_q^n\) ⋮ Harborth constants for certain classes of metacyclic groups ⋮ Solving linear equations in a vector space over a finite field ⋮ A new exponential upper bound for the Erd\H{o}s-Ginzburg-Ziv constant ⋮ On the size of subsets of \(\mathbb{F}_p^n\) without \(p\) distinct elements summing to zero
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