A+ CATEGORY SCIENTIFIC UNIT

On addition of two distinct sets of integers

Volume 70 / 1995

Vsevolod Lev, Pavel Smeliansky Acta Arithmetica 70 (1995), 85-91 DOI: 10.4064/aa-70-1-85-91

Abstract

What is the structure of a pair of finite integers sets A,B ⊂ ℤ with the small value of |A+B|? We answer this question for addition coefficient 3. The obtained theorem sharpens the corresponding results of G. Freiman.

Authors

  • Vsevolod Lev
  • Pavel Smeliansky

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