Primitive divisors of elliptic divisibility sequences over function fields with constant j-invariant

    Journal of Number Theory, 2020.

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    Abstract:

    Abstract We prove an optimal Zsigmondy bound for elliptic divisibility sequences over function fields in case the j-invariant of the elliptic curve is constant. In more detail, given an elliptic curve E with a point P of infinite order over a global field, the sequence D 1 , D 2 , … of denominators of multipl...More

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