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The computational and theoretical as...

Liang, Zhibin.

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The computational and theoretical aspects of elliptic curves

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The computational and theoretical aspects of elliptic curves/ edited by Zhibin Liang, Chandrakant Aribam.
其他作者:	Liang, Zhibin.
出版者:	Singapore :Springer Singapore : : 2019.,
面頁冊數:	vii, 95 p. :ill., digital ;24 cm.
內容註:	Introduction to the Conjectures of Birch and Swinnerton-Dyer -- Kolyvagin's Work on Modular Elliptic Curves -- p-Adic Analogues of The BSD Conjecture and the L-invariant -- Quadratic Twists of Elliptic Curves -- Computing Fourier Coefficients of Level One Modular Forms -- Hecke Algebras, New Vectors and New Spaces -- A Note on a Formula of Special Values of Dirichlet L-Functions -- On Orders of Tame Kernels In Quaternion Extension of Number Fields.
Contained By:	Springer eBooks
標題:	Curves, Elliptic. -
電子資源:	https://doi.org/10.1007/978-981-13-6664-2
ISBN:	9789811366642

The computational and theoretical aspects of elliptic curves
The computational and theoretical aspects of elliptic curves[electronic resource] /edited by Zhibin Liang, Chandrakant Aribam. - Singapore :Springer Singapore :2019. - vii, 95 p. :ill., digital ;24 cm. - Mathematical lectures from peking university,2197-4209. - Mathematical lectures from peking university..

Introduction to the Conjectures of Birch and Swinnerton-Dyer -- Kolyvagin's Work on Modular Elliptic Curves -- p-Adic Analogues of The BSD Conjecture and the L-invariant -- Quadratic Twists of Elliptic Curves -- Computing Fourier Coefficients of Level One Modular Forms -- Hecke Algebras, New Vectors and New Spaces -- A Note on a Formula of Special Values of Dirichlet L-Functions -- On Orders of Tame Kernels In Quaternion Extension of Number Fields.

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic. It provides an overview of the conjecture and a few special cases where the conjecture is proved. The broad theme of the two conferences was "Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture". The first was held at Beijing International Centre for Mathematical Research (BICMR) in December 2014 and the second was held at the International Centre for Theoretical Sciences (ICTS), Bangalore, India in December 2016. Providing a broad overview of the subject, the book is a valuable resource for young researchers wishing to work in this area. The articles have an extensive list of references to enable diligent researchers to gain an idea of the current state of art on this conjecture.

ISBN: 9789811366642

Standard No.: 10.1007/978-981-13-6664-2doiSubjects--Topical Terms:

540506
Curves, Elliptic.

LC Class. No.: QA567.2.E44 / C667 2019

Dewey Class. No.: 516.352

The computational and theoretical aspects of elliptic curves
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