Year: 2025
Type: article
Abstract: In contrast to finite arithmetic configurations, relatively little is known about which infinite patterns can be found in every set of natural numbers with positive density. Building on recent advances showing infinite sumsets can be found, we explore numerous open problems and obstructions to finding other infinite configurations in every set of natural numbers with positive density.
DOI: 10.1090/bull/1868
Authors: Bryna Kra, Joel Moreira, Florian Richter, Donald Robertson
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G1291613949, Research in Mathematics, G2565065172, G3623886478, G410571670, Representations of Finite Groups and Applications, G451917667, Combinatorial and Algebraic Structures in Dynamics, G4954356105, G5967599077, G6507757115, G6847856474, G7003921893, Structural Properties of Measurable and Topological Dynamical Systems, G8998143350, G929308097
OpenAlex ID: W4414688548