Mathematical Lectures from Peking University

The Computational and Theoretical Aspects of Elliptic Curves

Editors: Liang, Zhibin, Aribam, Chandrakant (Eds.)

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About this book

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 (8 chapters)

Table of contents (8 chapters)
  • Introduction to the Conjectures of Birch and Swinnerton-Dyer

    Pages 1-17

    Shekhar, Sudhanshu (et al.)

  • Kolyvagin’s Work on Modular Elliptic Curves

    Pages 19-30

    Lee, J.-J.

  • p-Adic Analogues of the BSD Conjecture and the $$\mathcal {L}$$-Invariant

    Pages 31-44

    Aribam, Chandrakant (et al.)

  • Quadratic Twists of Elliptic Curves

    Pages 45-53

    Li, Yongxiong

  • Computing Fourier Coefficients of Level One Modular Forms

    Pages 55-67

    Tian, Peng

Buy this book

eBook n/a
  • ISBN 978-981-13-6664-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-981-13-6663-5
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
The Computational and Theoretical Aspects of Elliptic Curves
Editors
  • Zhibin Liang
  • Chandrakant Aribam
Series Title
Mathematical Lectures from Peking University
Copyright
2019
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-6664-2
DOI
10.1007/978-981-13-6664-2
Hardcover ISBN
978-981-13-6663-5
Series ISSN
2197-4209
Edition Number
1
Number of Pages
VII, 95
Number of Illustrations
64 b/w illustrations, 1 illustrations in colour
Topics