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.
@article{bwmeta1.element.bwnjournal-article-aav70i1p85bwm,
author = {Vsevolod F. Lev and Pavel Y. Smeliansky},
title = {On addition of two distinct sets of integers},
journal = {Acta Arithmetica},
volume = {69},
year = {1995},
pages = {85-91},
zbl = {0817.11005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav70i1p85bwm}
}
Vsevolod F. Lev; Pavel Y. Smeliansky. On addition of two distinct sets of integers. Acta Arithmetica, Tome 69 (1995) pp. 85-91. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav70i1p85bwm/
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