论文标题
椭圆性分离序列的原始分隔线的一些效率结果
Some effectivity results for primitive divisors of elliptic divisibility sequences
论文作者
论文摘要
令$ p $为在数字字段$ k $上定义的椭圆曲线上的一个非扭声点，并考虑$ x（np）$的分母的序列$ \ {b_n \} _ {n \ in \ Mathbb {n}} $。我们证明，$ b_n $的序列的每个学期都有一个原始除数，其$ n $的原始除数比我们将明确计算的有效计算常数大。该常数仅取决于定义曲线的模型。
Let $P$ be a non-torsion point on an elliptic curve defined over a number field $K$ and consider the sequence $\{B_n\}_{n\in \mathbb{N}}$ of the denominators of $x(nP)$. We prove that every term of the sequence of the $B_n$ has a primitive divisor for $n$ greater than an effectively computable constant that we will explicitly compute. This constant will depend only on the model defining the curve.
