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Discrepancy of (centered) arithmetic progressions in Zp

✍ Scribed by Hebbinghaus, Nils; Srivastav, Anand

Book ID
122192164
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
420 KB
Volume
35
Category
Article
ISSN
0195-6698

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Discrepancy of Arithmetic Progressions in Higher Dimensions
✍ Benedek ValkΓ³ πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 136 KB

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