On the Additive Volume of Sets of Integers

Abstract

The study of the additive volume of sets can be reduced to the case of one-dimensional sets. The exact values of the volume of extremal sets are given as a conjecture.

References in corpus (3)

• Detailed Structure for Freiman's 3k-3 Theorem
• Structure Theory of Set Addition III. Results and Problems
• Characterizing the structure of A when the ratio |2A|/|A| is bounded by 3+epsilon

Cited by in corpus (2)

• On Doubling and Volume: Chains
• Additive Volume of Sets Contained in Few Arithmetic Progressions