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On the distribution of square-full numbers in arithmetic progressions

✍ Scribed by Huaning Liu, Ting Zhang


Book ID
120694769
Publisher
Springer
Year
2013
Tongue
English
Weight
236 KB
Volume
101
Category
Article
ISSN
0003-889X

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Independent Arithmetic Progressions in C
✍ David S. Gunderson; Imre Leader; Hans JΓΌrgen PrΓΆmel; VojtΔ›ch RΓΆdl πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 179 KB

We show that if G is a K r -free graph on N, there is an independent set in G which contains an arbitrarily long arithmetic progression together with its difference. This is a common generalization of theorems of Schur, van der Waerden, and Ramsey. We also discuss various related questions regarding