Cubic Forms
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Cubic Forms
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Author : Yu.I. Manin
language : en
Publisher: Elsevier
Release Date : 1986-02-01
Cubic Forms written by Yu.I. Manin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-02-01 with Mathematics categories.
Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references. The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems, the theory of the descent and obstructions to the Hasse principle on rational varieties, and recent applications of K-theory to arithmetic.
Cubic Forms And The Circle Method
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Author : Tim Browning
language : en
Publisher: Springer Nature
Release Date : 2021-11-19
Cubic Forms And The Circle Method written by Tim Browning and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-19 with Mathematics categories.
The Hardy–Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it capable of handling remarkably general systems of polynomial equations defined over arbitrary global fields, but it can also shed light on the space of rational curves that lie on algebraic varieties. This book, in which the arithmetic of cubic polynomials takes centre stage, is aimed at bringing beginning graduate students into contact with some of the many facets of the circle method, both classical and modern. This monograph is the winner of the 2021 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
Cubic Forms Algebra Geometry Arithmetic
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Author :
language : en
Publisher:
Release Date : 1986
Cubic Forms Algebra Geometry Arithmetic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Cubic Forms
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Author : I︠U︡ I. Manin
language : en
Publisher:
Release Date : 1974
Cubic Forms written by I︠U︡ I. Manin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Cubic Forms
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Author : Ûrij Ivanovič Manin
language : en
Publisher:
Release Date : 1974
Cubic Forms written by Ûrij Ivanovič Manin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Surfaces, Cubic categories.
Cubic Fields With Geometry
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Author : Samuel A. Hambleton
language : en
Publisher: Springer
Release Date : 2018-11-07
Cubic Fields With Geometry written by Samuel A. Hambleton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-07 with Mathematics categories.
The objective of this book is to provide tools for solving problems which involve cubic number fields. Many such problems can be considered geometrically; both in terms of the geometry of numbers and geometry of the associated cubic Diophantine equations that are similar in many ways to the Pell equation. With over 50 geometric diagrams, this book includes illustrations of many of these topics. The book may be thought of as a companion reference for those students of algebraic number theory who wish to find more examples, a collection of recent research results on cubic fields, an easy-to-understand source for learning about Voronoi’s unit algorithm and several classical results which are still relevant to the field, and a book which helps bridge a gap in understanding connections between algebraic geometry and number theory. The exposition includes numerous discussions on calculating with cubic fields including simple continued fractions of cubic irrational numbers, arithmetic using integer matrices, ideal class group computations, lattices over cubic fields, construction of cubic fields with a given discriminant, the search for elements of norm 1 of a cubic field with rational parametrization, and Voronoi's algorithm for finding a system of fundamental units. Throughout, the discussions are framed in terms of a binary cubic form that may be used to describe a given cubic field. This unifies the chapters of this book despite the diversity of their number theoretic topics.
Cubic Metaplectic Forms And Theta Functions
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Author : Nikolai Proskurin
language : en
Publisher: Springer
Release Date : 2006-11-14
Cubic Metaplectic Forms And Theta Functions written by Nikolai Proskurin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.
The Quarterly Journal Of Pure And Applied Mathematics
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Author : James Joseph Sylvester
language : en
Publisher:
Release Date : 1871
The Quarterly Journal Of Pure And Applied Mathematics written by James Joseph Sylvester and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1871 with Mathematics categories.
Discriminant Equations In Diophantine Number Theory
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Author : Jan-Hendrik Evertse
language : en
Publisher: Cambridge University Press
Release Date : 2016-11-03
Discriminant Equations In Diophantine Number Theory written by Jan-Hendrik Evertse and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-03 with Mathematics categories.
The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.
The Collected Mathematical Papers Of Arthur Cayley
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Author : Arthur Cayley
language : en
Publisher:
Release Date : 1895
The Collected Mathematical Papers Of Arthur Cayley written by Arthur Cayley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Mathematics categories.