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Liang, Zhibin.

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The computational and theoretical aspects of elliptic curves

Record Type:	Electronic resources : Monograph/item
Title/Author:	The computational and theoretical aspects of elliptic curves/ edited by Zhibin Liang, Chandrakant Aribam.
other author:	Liang, Zhibin.
Published:	Singapore :Springer Singapore : : 2019.,
Description:	vii, 95 p. :ill., digital ;24 cm.
[NT 15003449]:	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
Subject:	Curves, Elliptic. -
Online resource:	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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245 0 4 $a The computational and theoretical aspects of elliptic curves $h [electronic resource] / $c edited by Zhibin Liang, Chandrakant Aribam.
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300 $a vii, 95 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical lectures from peking university, $x 2197-4209
505 0 $a 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.
520 $a 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.
650 0 $a Curves, Elliptic. $3 540506
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650 2 4 $a Algebraic Geometry. $3 893861
700 1 $a Liang, Zhibin. $3 3411022
700 1 $a Aribam, Chandrakant. $3 3411023
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