Bounds on the size of Progression-Free Sets in ℤmn

Pach, Péter Pál

doi:10.2478/udt-2022-0005

Abstract

In this note we give an overview of the currently known best lower and upper bounds on the size of a subset of ℤⁿ_m avoiding k-term arithmetic progression. We will focus on the case when the length of the forbidden progression is 3. We also formulate some open questions.

References

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Bounds on the size of Progression-Free Sets in ℤmn

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