The Computational and Theoretical Aspects of Elliptic Curves

Zhibin Liang, Chandrakant Aribam (Herausgeber)

Buch | Softcover

95 Seiten

2020 | 1st ed. 2019
Springer Verlag, Singapore
978-981-13-6666-6 (ISBN)

Artikel merken

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.

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

Erscheinungsdatum	07.07.2020
Reihe/Serie	Mathematical Lectures from Peking University
Zusatzinfo	1 Illustrations, color; 64 Illustrations, black and white; VII, 95 p. 65 illus., 1 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Birch and Swinnerton-Dyer conjecture • Elliptic Curves • generic Sturm sequence • GLV method • Quaternion group • subresultant sequence • Sylvester resultant • Tame kernels • Weil restriction
ISBN-10	981-13-6666-7 / 9811366667
ISBN-13	978-981-13-6666-6 / 9789811366666
Zustand	Neuware