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关于椭圆曲线E(d^2)：y^2=x^3-d^2x的Artin Root Number的计算(英文) 被引量：1

On the computing of the Artin Root Number of the elliptic curve E_(d^2):y^2=x^3-d^2x over the Gaussian integers
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摘要 作者给出了一类椭圆曲线Ed2:y2=x3-d2x的Artin Root Number的精确表达式,这里d=π1…πrω1…ωsq1…qt是一些互不相同的"标准"的高斯素数的乘积.这是在赵春来的相关结果的推广. We give an explicit formula of the Artin root number of the class of elliptic curves Ej2 ： y2 = xa -- d2x, where d = π1 …π1ω1… ωsq1 …qt is a product of distinct ＇canonical＇ Gaussian prime numbers. It is a slight generalization of the relative result from Zhao Chunlai.
作者 佘东明
机构地区 四川大学数学学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第4期668-674,共7页 Journal of Sichuan University(Natural Science Edition)
关键词 ARTIN ROOT NUMBER 椭圆曲线 L-函数 四次互反律 Artin root number elliptic curve L-function quartic reciprocity law
分类号 O156.2 [理学—基础数学]
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共引文献20

同被引文献13

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四川大学学报（自然科学版）
2013年 第4期

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