The computational and theoretical aspects of elliptic curves /

The computational and theoretical aspects of elliptic curves /

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Bibliographic Details
Imprint:	Singapore : Springer Nature, [2019] ©2019
Description:	1 online resource
Language:	English
Series:	Mathematical lectures from Peking University Mathematical lectures from Peking University.
Subject:	Curves, Elliptic. Curves, Elliptic. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11895662

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Other authors / contributors:	Liang, Zhibin, editor. Aribam, Chankant, editor.
ISBN:	9789811366642 9811366640 9789811366635
Notes:	Includes bibliographical references. Online resource; title from PDF title page (EBSCO, viewed May 30, 2019).
Summary:	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.--

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.