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Catalogue Information
Field name	Details
Dewey Class	512.7
Title	The Computational and Theoretical Aspects of Elliptic Curves ([EBook]) / edited by Zhibin Liang, Chandrakant Aribam.
Added Personal Name	Liang, Zhibin
Added Personal Name	Aribam, Chandrakant
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2019.
Publication	Singapore : Springer Singapore , 2019.
Physical Details	VII, 95 pages: 65 illus., 1 illus. in color. : online resource.
Series	Mathematical Lectures from Peking University
ISBN	9789811366642
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-981-13-6664-2
Links to Related Works	Subject References: Algebraic Geometry . Number Theory . Authors: Aribam, Chandrakant . editor . Liang, Zhibin . Corporate Authors: SpringerLink (Online service) . Series: Mathematical Lectures from Peking University . Classification: 512.7 . 512.7 (DDC 23) .

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The Computational and Theoretical Aspects of Elliptic Curves

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