The Computational and Theoretical Aspects of Elliptic Curves
Author:   Zhibin Liang ,  Chandrakant Aribam
Publisher:   Springer Verlag, Singapore
Edition:   1st ed. 2019
ISBN:  

9789811366635


Pages:   95
Publication Date:   23 May 2019
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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The Computational and Theoretical Aspects of Elliptic Curves


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Overview

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.

Full Product Details

Author:   Zhibin Liang ,  Chandrakant Aribam
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2019
Weight:   0.454kg
ISBN:  

9789811366635


ISBN 10:   9811366632
Pages:   95
Publication Date:   23 May 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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

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