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Febuary 2020 Down the large rabbit hole
Aaron Robertson
Rocky Mountain J. Math. 50(1): 237-253 (Febuary 2020). DOI: 10.1216/rmj.2020.50.237

Abstract

This article documents my journey down the rabbit hole, chasing what I have come to know as a particularly unyielding problem in Ramsey theory on the integers: the 2-large conjecture. This conjecture states that if D+ has the property that every 2-coloring of + admits arbitrarily long monochromatic arithmetic progressions with common difference from D, then the same property holds for any finite number of colors. We hope to provide a roadmap for future researchers and also provide some new results related to the 2-large conjecture.

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Aaron Robertson. "Down the large rabbit hole." Rocky Mountain J. Math. 50 (1) 237 - 253, Febuary 2020. https://doi.org/10.1216/rmj.2020.50.237

Information

Received: 22 August 2017; Accepted: 17 July 2019; Published: Febuary 2020
First available in Project Euclid: 30 April 2020

zbMATH: 07201565
MathSciNet: MR4092555
Digital Object Identifier: 10.1216/rmj.2020.50.237

Subjects:
Primary: 05D10

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 1 • Febuary 2020
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