The Computational and Theoretical Aspects of Elliptic Curves
Editors: Liang, Zhibin, Aribam, Chandrakant (Eds.)
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- About this book
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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)
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Introduction to the Conjectures of Birch and Swinnerton-Dyer
Pages 1-17
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Kolyvagin’s Work on Modular Elliptic Curves
Pages 19-30
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p-Adic Analogues of the BSD Conjecture and the $$\mathcal {L}$$-Invariant
Pages 31-44
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Quadratic Twists of Elliptic Curves
Pages 45-53
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Computing Fourier Coefficients of Level One Modular Forms
Pages 55-67
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Table of contents (8 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- The Computational and Theoretical Aspects of Elliptic Curves
- Editors
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- 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
- Softcover ISBN
- 978-981-13-6666-6
- Series ISSN
- 2197-4209
- Edition Number
- 1
- Number of Pages
- VII, 95
- Number of Illustrations
- 64 b/w illustrations, 1 illustrations in colour
- Topics
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