MATRIX PROGRESSIONS IN MULTIDIMENSIONAL SETS OF INTEGERS

DOI10.1112/S0025579314000163zbMath1393.11007OpenAlexW2326180942MaRDI QIDQ5179250

Sean Prendiville

Publication date: 19 March 2015

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579314000163

zbMATH Keywords

matrix progressions

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

Popular differences for right isosceles triangles ⋮ Configurations of rectangles in \(\mathbb{F}_q^2\) ⋮ Subsets of without L-shaped configurations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Popular differences for matrix patterns

Cites Work

• On Roth's theorem on progressions
• An ergodic Szemerédi theorem for commuting transformations
• A new proof of Szemerédi's theorem for arithmetic progressions of length four
• Integer sets containing no arithmetic progressions
• ON A GENERALIZATION OF SZEMERÉDI'S THEOREM
• Integer Sets Containing No Arithmetic Progressions
• AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM
• On Certain Sets of Integers
• On Certain Sets of Integers (II)
• A new proof of Szemerédi's theorem

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