Perfect difference sets constructed from Sidon sets
نویسندگان
چکیده
A set A of positive integers is a perfect difference set if every nonzero integer has an unique representation as the difference of two elements of A. We construct dense perfect difference sets from dense Sidon sets. As a consequence of this new approach we prove that there exists a perfect difference set A such that A(x) ≫ x √ . Also we prove that there exists a perfect difference set A such that lim supx→∞ A(x)/ √ x ≥ 1/ √ 2.
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ورودعنوان ژورنال:
- Combinatorica
دوره 28 شماره
صفحات -
تاریخ انتشار 2008