On addition of two distinct sets of integers
Acta Arithmetica 70 (1995), 85-91 DOI: 10.4064/aa-70-1-85-91
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.