An asymmetric random Rado theorem for single equations: The 0‐statement

DOI10.1002/rsa.21039zbMath1522.05488arXiv2004.14076OpenAlexW3165127360MaRDI QIDQ6074694

Andrew Treglown, Robert Hancock

Publication date: 12 October 2023

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14076

zbMATH Keywords

Rado's theoremarithmetic Ramsey theoryrandom sets of integers

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of partitions of integers (05A17) Ramsey theory (05D10)

Cites Work

• Combinatorial theorems in sparse random sets
• Quantitative theorems for regular systems of equations
• On Schur properties of random subsets of integers
• Threshold functions and Poisson convergence for systems of equations in random sets
• Studien zur Kombinatorik
• An asymmetric random Rado theorem: 1-statement
• A note on sparse supersaturation and extremal results for linear homogeneous systems
• A sharp threshold for van der Waerden's theorem in random subsets
• Ramsey properties of random discrete structures
• Solving a linear equation in a set of integers I
• Rado Partition Theorem for Random Subsets of Integers
• Combinatorial theorems relative to a random set
• Independent Sets in Hypergraphs and Ramsey Properties of Graphs and the Integers
• The Maker--Breaker Rado Game on a Random Set of Integers
• Threshold Functions for Ramsey Properties
• Towards the Kohayakawa–Kreuter conjecture on asymmetric Ramsey properties
• On the optimality of the uniform random strategy

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