On a divisibility relation for Lucas sequences
Copyright policy ) Yuri F. Bilu; Takao Komatsu; Florian Luca; Amalia Pizarro-Madariaga; Pantelimon Stănică;
On a divisibility relation for Lucas sequences
In this note, we study the divisibility relation $U_m\mid U_{n+k}^s-U_n^s$, where ${\bf U}:=\{U_n\}_{n\ge 0}$ is the Lucas sequence of characteristic polynomial $x^2-ax\pm 1$ and $k,m,n,s$ are positive integers.
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- University of the Witwatersrand South Africa
- Wuhan University China (People's Republic of)
- University of Bordeaux France
- University of Bordeaux France
- United States Department of the Interior United States
roots of unity, Mathematics - Number Theory, FOS: Mathematics, 11B39, Number Theory (math.NT), Lucas sequence
roots of unity, Mathematics - Number Theory, FOS: Mathematics, 11B39, Number Theory (math.NT), Lucas sequence
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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