Abstract
It is known that a set of k integers A with small doubling (small |A+A|) satisfying the condition |A+A|=2k−1+b, 0≤b≤k−3, is a part of arithmetic progression of k+b terms. It appeared that the structure of A may be described in a much more detailed way.
This chapter has been written based on notes taken by Jordi Moragas at the seminar delivered by the author at CRM on February 13, 2008.
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Freiman, G.A. (2009). On the detailed structure of sets with small additive property. In: Combinatorial Number Theory and Additive Group Theory. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8962-8_17
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DOI: https://doi.org/10.1007/978-3-7643-8962-8_17
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