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The Polynomial Method and Restricted Sums of Congruence Classes

โœ Scribed by Noga Alon; Melvyn B. Nathanson; Imre Ruzsa

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
432 KB
Volume
56
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

We present a simple and general algebraic technique for obtaining results in Additive Number Theory, and apply it to derive various new extensions of the Cauchy Davenport Theorem. In particular we obtain, for subsets A 0 , A 1 , ..., A k of the finite field Z p , a tight lower bound on the minimum possible cardinality of

as a function of the cardinalities of the sets A i .

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