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arXiv · 1108.1267

Arithmetic Progressions in a Unique Factorization Domain

Sudhir R. Ghorpade·Samrith Ram
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Abstract

Pillai showed that any sequence of consecutive integers with at most 16 terms possesses one term that is relatively prime to all the others. We give a new proof of a slight generalization of this result to arithmetic progressions of integers and further extend it to arithmetic progressions in unique factorization domains of characteristic zero.

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Sudhir R. Ghorpade, Samrith Ram. 2012-03-25. Arithmetic Progressions in a Unique Factorization Domain. https://arxiv.org/abs/1108.1267

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