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Discrepancy of Centered Arithmetic Progressions in (Extended Abstract)

✍ Scribed by Nils Hebbinghaus; Anand Srivastav

Book ID
119236594
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
209 KB
Volume
38
Category
Article
ISSN
1571-0653

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proved that the discrepancy of arithmetic progressions contained in [1, N]={1, 2, ..., N} is at least cN 1/4 , and later it was proved that this result is sharp. We consider the d-dimensional version of this problem. We give a lower estimate for the discrepancy of arithmetic progressions on [1, N] d