MULTIPLE SET ADDITION IN Zp

نویسنده

  • Tomasz Schoen
چکیده

It is shown that there exists an absolute constant H such that for every h > H, every prime p, and every set A ⊆ Zp such that 10 ≤ |A| ≤ p(lnh)/(9h) and |hA| ≤ h3/2|A|/(8(lnh)1/2), the set A is contained in an arithmetic progression modulo p of cardinality max1≤j≤h−1 |hA|−Pj(|A|) h−j + 1, where Pj(n) = (j+1)j 2 n − j + 1. This result can be viewed as a generalization of Freiman’s “2.4-theorem”.

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تاریخ انتشار 2003