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Large Discrepancy In Homogenous Quasi-Arithmetic Progressions

✍ Scribed by Robert Hochberg


Book ID
106167580
Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
235 KB
Volume
26
Category
Article
ISSN
0209-9683

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Discrepancy in Arithmetic Progressions
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Discrepancy of Arithmetic Progressions i
✍ 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