On Non-intersecting Arithmetic Progressions

Ernie Croot

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arXiv · math/0208236

On Non-intersecting Arithmetic Progressions

Ernie Croot

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Abstract

We prove that if one has k non-intersecting arithmetic progressions of integers, with common differences 2 <= q_1,...,q_k <= x, then k < x exp((-1/6 + o(1)) sqrt(log x loglog x)). This improves a result of Szemeredi and Erdos.

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BibTeX RIS

Ernie Croot. 2002-08-30. On Non-intersecting Arithmetic Progressions. https://arxiv.org/abs/math/0208236

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