Sumsets in quadratic residues
I. D. Shkredov
Acta Arithmetica, Tome 166 (2014), p. 221-243 / Harvested from The Polish Digital Mathematics Library
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We describe all sets A⊆p which represent the quadratic residues R⊆p in the sense that R = A + A or R = A ⨣ A. Also, we consider the case of an approximate equality R ≈ A + A and R ≈ A ⨣ A and prove that A is then close to a perfect difference set.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:278893 
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     title = {Sumsets in quadratic residues},
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     year = {2014},
     pages = {221-243},
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     language = {en},
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I. D. Shkredov. Sumsets in quadratic residues. Acta Arithmetica, Tome 166 (2014) pp. 221-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-3-2/