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Bartosz Naskręcki
Divisibility sequences of polynomials and heights estimates view print
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| Published: |
September 17, 2016
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| Keywords: |
Elliptic divisibility sequence, primitive divisor, elliptic surface, height of point |
| Subject: |
Primary 11G05; Secondary 11B83 11C08 14H52. |
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Abstract
In this note we compute a constant N that bounds the number of nonprimitive divisors in elliptic divisibility sequences over function fields of any characteristic. We improve a result of
Ingram-Mahé-Silverman-Stange-Streng, 2012,
and we show that the constant can be chosen independently of the specific point and to some extent of the specific curve, as predicted in loc. cit.
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| Acknowledgements
The author was supported by the National Science Centre Poland research grant 2012/07/B/ST1/03541 and by the DFG grant Sto299/11-1 within the framework of the Priority Programme SPP 1489.
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| Author information
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznan, Poland, and School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK
nasqret@gmail.com
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