Mathematics – Number Theory
Scientific paper
2006-03-20
Combinatorica, vol. 28 No 4 (2008) pp. 441-467.
Mathematics
Number Theory
Submitted to Combinatorica, 23 pages, revised version
Scientific paper
10.1007/s00493-008-2262-8
We obtain critical pair theorems for subsets S and T of an abelian group such
that |S+T| < |S|+|T|+1. We generalize some results of Chowla, Vosper, Kemperman
and a more recent result due to Rodseth and one of the authors.
Hamidoune Yahya Ould
Serra Oriol
Zemor Gilles
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