Big prime factors in orders of elliptic curves over finite fields

被引：0

作者：

Bilu, Yuri ^{[1
,2
]}

Hong, Haojie ^{[1
,2
]}

Luca, Florian ^{[3
,4
,5
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, Bordeaux, France

[2] CNRS, Paris, ON, Canada

[3] Univ Witwatersrand, Sch Math, Johannesburg, South Africa

[4] Univ Bordeaux, IMB, Bordeaux, France

[5] UNAM, Ctr Ciencias Matemat, Morelia, Mexico

来源：

PUBLICATIONES MATHEMATICAE DEBRECEN | 2023年 / 102卷 / 3-4期

关键词：

prime factors; linear recurrent sequences; PRIMITIVE DIVISORS; NUMBER; LUCAS;

D O I：

10.5486/PMD.2023.9460

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be an elliptic curve over the finite field Fq. We prove that, when n is a sufficiently large positive integer, #E(Fqn) has a prime factor exceeding n exp(c log n/ log log n).

引用

页码：459 / 474

页数：16

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