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Stefan Barańczuk
On second-order linear recurrence sequences in Mordell-Weil groups
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| Published: |
August 9, 2019. |
| Keywords: |
Mordell-Weil groups, algebraic K-theory groups, recurrence sequences, reduction maps. |
| Subject: |
11G05, 11B50. |
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Abstract
In this paper we determine second-order linear recurrence sequences in Mordell-Weil groups of elliptic curves over number fields without complex multiplication having almost all primes as divisors. We also consider more
general groups of Mordell-Weil type. |
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| Acknowledgements
We drew inspiration form Prof. Schinzel's lecture on recursive sequences and congruences he gave in Poznań in 2016 at the Arithmetic Algebraic Geometry Seminar organized by G. Banaszak and P. Krasoń.
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| Author information
Stefan Barańczuk:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
ul. Umultowska 87, Poznań, Poland
stefbar@amu.edu.pl
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