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Multiplicative character sums and products of sparse integers in residue classes

✍ Scribed by Alina Ostafe, Igor E. Shparlinski


Book ID
113074021
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
114 KB
Volume
64
Category
Article
ISSN
0031-5303

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πŸ“œ SIMILAR VOLUMES


On the Uniform Distribution in Residue C
✍ Mihail N Kolountzakis πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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 1Γ‚2 . 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 1Γ‚2 &| A | (the