Download or read book Cubic Forms written by Yu.I. Manin and published by Elsevier. This book was released on 1986-02-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Cubic Forms and the Circle Method written by Tim Browning and published by Springer Nature. This book was released on 2021-11-19 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Cubic Forms Algebra Geometry Arithmetic written by I͡U. I. Manin and published by North-Holland. This book was released on 1974 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Cubic Fields with Geometry written by Samuel A. Hambleton and published by Springer. This book was released on 2018-11-07 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Quarterly Journal of Pure and Applied Mathematics written by James Joseph Sylvester and published by . This book was released on 1871 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Discriminant Equations in Diophantine Number Theory written by Jan-Hendrik Evertse and published by Cambridge University Press. This book was released on 2017 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.

Download or read book The Collected Mathematical Papers of Arthur Cayley written by Arthur Cayley and published by . This book was released on 1895 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Crystalline Form and Chemical Constitution written by Alfred Edwin Howard Tutton and published by . This book was released on 1926 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Carnegie Institution of Washington Publication written by and published by . This book was released on 1923 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Number Theory I written by Yu. I. Manin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified survey of both the status quo and the continuing trends of various branches of number theory. Motivated by elementary problems, the authors present todays most significant results and methods. Topics covered include non-Abelian generalisations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. The book is rounded off with an overview of the major conjectures, most of which are based on analogies between functions and numbers, and on connections with other branches of mathematics such as analysis, representation theory, geometry and algebraic topology.

Download or read book Bulletin new Series of the American Mathematical Society written by and published by . This book was released on 1908 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1908 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book American Journal of Mathematics written by and published by . This book was released on 1921 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.

Download or read book The Continuity of Pre Islamic Motifs in Javanese Mosque Ornamentation Indonesia written by Hee Sook Lee-Niinioja and published by Archaeopress Publishing Ltd. This book was released on 2022-02-10 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book assesses the continuity and significance of Hindu-Buddhist design motifs in Islamic mosques in Java. The volume investigates four pre-Islamic motifs in Javanese mosque ornamentation from the 15th century to the present day: prehistoric tumpals, Hindu-Buddhist kala-makaras, lotus buds, and scrolls.

Download or read book Cubic Forms written by Jurij Ivanovič Manin and published by . This book was released on 1974 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Metal Industry written by and published by . This book was released on 1927 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes monthly "Abstracts of recent literature relating to non-ferrous and ferrous metals."

Download or read book The Moduli Space of Cubic Threefolds as a Ball Quotient written by Daniel Allcock and published by American Mathematical Soc.. This book was released on 2011 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 209, number 985 (fourth of 5 numbers)."