On Simple Linear Recurrences

Andrzej Schinzel ()
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Andrzej Schinzel: Polish Academy of Sciences, Institute of Mathematics

A chapter in Number Theory – Diophantine Problems, Uniform Distribution and Applications, 2017, pp 381-389 from Springer

Abstract: Abstract It is proved that every simple linear recurrence defined over a number field K, that has zeros modulo almost all prime ideals of K, takes the value 0 for a certain integer index. A similar theorem does not hold, in general, for simple linear recurrences of order n > 3. The case n = 3 is studied, but not decided.

Keywords: 11B37; 11D61 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-55357-3_20

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DOI: 10.1007/978-3-319-55357-3_20

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