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Discrepancy in Arithmetic Progressions

✍ Scribed by Jiří Matoušek and Joel Spencer


Book ID
125045538
Publisher
American Mathematical Society
Year
1996
Tongue
English
Weight
823 KB
Volume
9
Category
Article
ISSN
0894-0347

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Discrepancy of Arithmetic Progressions i
✍ Benedek Valkó 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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