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Lower bounds on multiple distinct sums sets

✍ Scribed by Wende Chen; Torleiv Kløve

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
590 KB
Volume
148
Category
Article
ISSN
0012-365X

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✦ Synopsis

Improved lower bounds on multiple distinct sums sets are given. Lower bounds for the more general case of multiple difference set of a distinct sum set are considered.

📜 SIMILAR VOLUMES

Lower bounds on multiple difference sets
Lower bounds on multiple difference sets
✍ Wende Chen; Torleiv Kløve 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 568 KB

We give a lower bound on the maximal element in a multiple difference set.

On Lower Bounds for Incomplete Character
On Lower Bounds for Incomplete Character Sums over Finite Fields
✍ Ferruh Özbudak 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 290 KB

The purpose of this paper is to extend results of Stepanov (1980;1994) about lower bounds for incomplete character sums over a prime finite field F p to the case of arbitrary finite field F q .

On the Uniform Distribution in Residue C
On the Uniform Distribution in Residue Classes of Dense Sets of Integers with Distinct Sums
✍ 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