Freiman's theorem

proper noun

In additive combinatorics, a central result that indicates the approximate structure of sets whose sumset is small. It roughly states that if |A+A|/|A| is small, then A can be contained in a small generalized arithmetic progression.

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Meanings

proper noun
  1. mathematicsIn additive combinatorics, a central result that indicates the approximate structure of sets whose sumset is small. It roughly states that if |A+A|/|A| is small, then A can be contained in a small generalized arithmetic progression.

Origin

The result is due to Gregory Freiman (1964, 1966).

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Cite this entry
APA

Freiman's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Freiman's%20theorem

MLA

“Freiman's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Freiman's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Freiman's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Freiman's%20theorem.

Source: Freiman's theorem on Wiktionary, CC BY-SA 4.0.