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Uniform Distribution of Sequences of Integers in Residue Classes

✍ Scribed by Władysław Narkiewicz (auth.)


Book ID
127404334
Publisher
Springer
Year
1984
Tongue
English
Weight
773 KB
Edition
1
Category
Library
City
Berlin; New York
ISBN
0387138722

No coin nor oath required. For personal study only.

✦ Subjects


Number Theory


📜 SIMILAR VOLUMES


On the Uniform Distribution in Residue C
✍ Mihail N Kolountzakis 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 95 KB

A set A [1, ..., N] is of the type B 2 if all sums a+b, with a b, a, b # A, are distinct. It is well known that the largest such set is of size asymptotic to N 1Â2 . For a B 2 set A of this size we show that, under mild assumptions on the size of the modulus m and on the difference N 1Â2 &| A | (the