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.
|Number of pages||32|
|Journal||New York Journal of Mathematics|
|Publication status||Published - 17 Sep 2016|
- Elliptic divisibility sequence
- primitive divisor
- elliptic surface
- height of point