Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves

Sha Min; Shparlinski Igor E.

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Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves

机译：椭圆曲线的单参数和双参数族中的Lang-Trotter和Sato-Tate分布

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来源
《Acta Arithmetica 》 |2015年第4期| 共27页
作者
Sha Min; Shparlinski Igor E.;
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正文语种 eng
中图分类计算数学 ;
关键词
Lang-Trotter conjecture; Sato-Tate conjecture; parametric families of elliptic curves;

机译：Lang-Trotter猜想;Sato-Tate猜想;椭圆曲线的参数族;

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专利

1. Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves [J] . Sha Min, Shparlinski Igor E. Acta Arithmetica . 2015 ,第4期

机译：椭圆曲线的单参数和双参数族中的Lang-Trotter和Sato-Tate分布
2. The Sato-Tate distribution in thin parametric families of elliptic curves [J] . de la Breteche Regis, Sha Min, Shparlinski Igor E., Mathematische Zeitschrift . 2018 ,第3a4期

机译：椭圆曲线薄参数系列中的坐娱乐分布
3. The Sato-Tate distribution in thin families of elliptic curves over high degree extensions of finite fields [J] . Shparlinski Igor E. International Journal of Number Theory . 2019 ,第3期

机译：有限域高阶扩展上椭圆曲线薄族中的Sato-Tate分布
4. Optimizing Double-Base Elliptic-Curve Single-Scalar Multiplication [C] . Daniel J. Bernstein, Peter Birkner, Tanja Lange, International Conference on Cryptology in India(INDOCRYPT 2007); 200711209-13; Chennai(IN) . 2007

机译：优化双基椭圆曲线单标量乘法
5. An asymptotic formula for the number of non-Serre curves in a two-parameter family of elliptic curves. [D] . Radhakrishnan, Vinod. 2008

机译：两参数椭圆曲线族中非Serre曲线数的渐近公式。
6. Colloquium Paper: Parametrizations of elliptic curves by Shimura curves and by classical modular curves [O] . Kenneth A. Ribet, Shuzo Takahashi 1997

机译：座谈会论文：Shimura曲线和by的椭圆曲线参数化经典模曲线
7. Lang-Trotter and Sato-Tate Distributions in Single and Double Parametric Families of Elliptic Curves [O] . Sha, Min, Shparlinski, Igor E. 2015

机译：单参数和双参数的Lang-Trotter和sato-Tate分布椭圆曲线族

Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves

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