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Restricted set addition in groups, III. Integer sumsets with generic restrictions

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Abstract

Let Abe a finite set of integers. Assuming that R⊆A×Ais “not too large”, we give a lower-bound estimate for the cardinality of the restricted sumset A+ R A:= {a1 + a2 : a1; a2 ∈A;(a1; a2) ∉R}in terms of the cardinality and the length of A.

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Authors and Affiliations

  1. Institute of Mathematics, Hebrew University, Jerusalem, 91904, Israel

    Vsevolod F. Lev

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  1. Vsevolod F. Lev
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Lev, V.F. Restricted set addition in groups, III. Integer sumsets with generic restrictions. Periodica Mathematica Hungarica 42, 89–98 (2001). https://doi.org/10.1023/A:1015248607819

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