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Sumsets in difference sets

✍ Scribed by Vitaly Bergelson; Imre Z. Ruzsa

Book ID
107529233
Publisher
The Hebrew University Magnes Press
Year
2009
Tongue
English
Weight
172 KB
Volume
174
Category
Article
ISSN
0021-2172

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For a prime p, a subset S of Z p is a sumset if S = A+A for some A βŠ‚ Z p . Let f (p) denote the maximum integer so that every subset S βŠ‚ Z p of size at least pf (p) is a sumset. The question of determining or estimating f (p) was raised by Green. He showed that for all sufficiently large p, f (p) 1