{Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For elliptic curves in global minimal form, it seems likely this result is true in a uniform manner. We present such a result for certain infinite families of curves and points. Our methods allow the first explicit examples of the elliptic Zsigmondy Theorem to be exhibited. As an application, we show that every term beyond the fourth of the Somos-4 sequence has a primitive divisor
In this work, we study elliptic divisibility sequences over finite fields. Morgan Ward in [14], [15]...
In this work, we study elliptic divisibility sequences over finite fields. Morgan Ward in [14], [15]...
Take a rational elliptic curve defined by the equation $y^2=x^3+ax$ in minimal form and consider the...
{Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For ellip...
AbstractSilverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. Fo...
Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For ellipt...
AbstractSilverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. Fo...
Elliptic divisibility sequences have been introduced by Ward, in 1948. The terms of an elliptic divi...
AbstractLet n⩾5 be an integer. We provide an effective method for finding all elliptic curves in sho...
Let P be a nontorsion point on an elliptic curve defined over a number field K and consider the sequ...
Let P be a nontorsion point on an elliptic curve defined over a number field K and consider the sequ...
We develop techniques first studied by Morgan Ward to characterize sequences which arise from ellipt...
AbstractIt is shown that there are finitely many perfect powers in an elliptic divisibility sequence...
AbstractLet n⩾5 be an integer. We provide an effective method for finding all elliptic curves in sho...
We study a problem on specializations of multiples of rational points on elliptic curves analogous t...
In this work, we study elliptic divisibility sequences over finite fields. Morgan Ward in [14], [15]...
In this work, we study elliptic divisibility sequences over finite fields. Morgan Ward in [14], [15]...
Take a rational elliptic curve defined by the equation $y^2=x^3+ax$ in minimal form and consider the...
{Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For ellip...
AbstractSilverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. Fo...
Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For ellipt...
AbstractSilverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. Fo...
Elliptic divisibility sequences have been introduced by Ward, in 1948. The terms of an elliptic divi...
AbstractLet n⩾5 be an integer. We provide an effective method for finding all elliptic curves in sho...
Let P be a nontorsion point on an elliptic curve defined over a number field K and consider the sequ...
Let P be a nontorsion point on an elliptic curve defined over a number field K and consider the sequ...
We develop techniques first studied by Morgan Ward to characterize sequences which arise from ellipt...
AbstractIt is shown that there are finitely many perfect powers in an elliptic divisibility sequence...
AbstractLet n⩾5 be an integer. We provide an effective method for finding all elliptic curves in sho...
We study a problem on specializations of multiples of rational points on elliptic curves analogous t...
In this work, we study elliptic divisibility sequences over finite fields. Morgan Ward in [14], [15]...
In this work, we study elliptic divisibility sequences over finite fields. Morgan Ward in [14], [15]...
Take a rational elliptic curve defined by the equation $y^2=x^3+ax$ in minimal form and consider the...