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arXiv · 1601.02997

Discrepancy One among Homogeneous Arithmetic Progressions

Robert Hochberg·Paul Phillips
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Abstract

We investigate a restriction of Paul Erdos' well-known problem from 1936 on the discrepancy of homogeneous arithmetic progressions. We restrict our attention to a finite set S of homogeneous arithmetic progressions, and ask when the discrepancy with respect to this set is exactly 1. We answer this question when S has size four or less, and prove that the problem for general S is NP-hard, even for discrepancy 1.

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Robert Hochberg, Paul Phillips. 2016-01-12. Discrepancy One among Homogeneous Arithmetic Progressions. https://doi.org/10.1007/s00373-016-1734-7

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