Primes, elliptic curves and cyclic groups

被引：3
作者：
Cojocaru, Alina Carmen [1 ,2 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St,322 SEO, Chicago, IL 60607 USA
[2] Romanian Acad, Inst Math Simion Stoilow, 21 Calea Grivitei St,Sect 1, Bucharest 010702, Romania
来源：
ANALYTIC METHODS IN ARITHMETIC GEOMETRY | 2019年 / 740卷
基金：
美国国家科学基金会;
关键词：
SATO-TATE; MODULO-P; FINITE-ORDER; POINTS; REDUCTIONS; AVERAGE; NUMBER; STATISTICS; DIVISOR; INVARIANTS;
D O I：
10.1090/conm/740/14901
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given an elliptic curve defined over the field of rational numbers, what is the frequency with which its reduction modulo a prime gives rise to a cyclic group? Guided by this question, we survey results (and their methods of proof) about rational primes viewed in the context of elliptic curves.
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收藏
页码：1 / 69
页数：69
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