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COMBINATORICS
2006

Discrepancy of Sums of Three Arithmetic Progressions

9 years 4 days ago
Discrepancy of Sums of Three Arithmetic Progressions
The set system of all arithmetic progressions on [n] is known to have a discrepancy of order n1/4. We investigate the discrepancy for the set system S3 n formed by all sums of three arithmetic progressions on [n] and show that the discrepancy of S3 n is bounded below by (n1/2). Thus S3 n is one of the few explicit examples of systems with polynomially many sets and a discrepancy this high.
Ales Prívetivý
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where COMBINATORICS
Authors Ales Prívetivý
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