Distribution Theory Of Algebraic Numbers
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Author | : Pei-Chu Hu |
Publisher | : Walter de Gruyter |
Total Pages | : 541 |
Release | : 2008-12-10 |
Genre | : Mathematics |
ISBN | : 3110208261 |
Download Distribution Theory of Algebraic Numbers Book in PDF, Epub and Kindle
The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions • Algebraic numbers • Algebraic geometry • Height functions • The abc-conjecture • Roth's theorem • Subspace theorems • Vojta's conjectures • L-functions.
Author | : Wladyslaw Narkiewicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 712 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 3662070014 |
Download Elementary and Analytic Theory of Algebraic Numbers Book in PDF, Epub and Kindle
This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems.
Author | : Harry Pollard |
Publisher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 1975-12-31 |
Genre | : Algebraic number theory |
ISBN | : 1614440093 |
Download The Theory of Algebraic Numbers: Second Edition Book in PDF, Epub and Kindle
This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.
Author | : Benjamin Fine |
Publisher | : Springer Science & Business Media |
Total Pages | : 350 |
Release | : 2007-06-04 |
Genre | : Mathematics |
ISBN | : 0817645411 |
Download Number Theory Book in PDF, Epub and Kindle
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. Analytic number theory and algebraic number theory both receive a solid introductory treatment. The book’s user-friendly style, historical context, and wide range of exercises make it ideal for self study and classroom use.
Author | : Serge Lang |
Publisher | : Springer Science & Business Media |
Total Pages | : 356 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 146120853X |
Download Algebraic Number Theory Book in PDF, Epub and Kindle
This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. "Lang's books are always of great value for the graduate student and the research mathematician. This updated edition of Algebraic number theory is no exception."—-MATHEMATICAL REVIEWS
Author | : H. P. F. Swinnerton-Dyer |
Publisher | : Cambridge University Press |
Total Pages | : 164 |
Release | : 2001-02-22 |
Genre | : Mathematics |
ISBN | : 9780521004237 |
Download A Brief Guide to Algebraic Number Theory Book in PDF, Epub and Kindle
Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.
Author | : Pei-Chu Hu |
Publisher | : Springer Science & Business Media |
Total Pages | : 546 |
Release | : 2006-10-06 |
Genre | : Mathematics |
ISBN | : 3764375698 |
Download Value Distribution Theory Related to Number Theory Book in PDF, Epub and Kindle
The subject of the book is Diophantine approximation and Nevanlinna theory. This book proves not just some new results and directions but challenging open problems in Diophantine approximation and Nevanlinna theory. The authors’ newest research activities on these subjects over the past eight years are collected here. Some of the significant findings are the proof of Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, generalized abc-conjecture, and more.
Author | : Daniel A. Marcus |
Publisher | : Springer |
Total Pages | : 213 |
Release | : 2018-07-05 |
Genre | : Mathematics |
ISBN | : 3319902334 |
Download Number Fields Book in PDF, Epub and Kindle
Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.
Author | : Legh Wilber Reid |
Publisher | : |
Total Pages | : 486 |
Release | : 1910 |
Genre | : Mathematics |
ISBN | : |
Download The Elements of the Theory of Algebraic Numbers Book in PDF, Epub and Kindle
Author | : |
Publisher | : Academic Press |
Total Pages | : 341 |
Release | : 1966-01-01 |
Genre | : Mathematics |
ISBN | : 0080873359 |
Download Introduction to the Theory of Algebraic Numbers and Fuctions Book in PDF, Epub and Kindle
Introduction to the Theory of Algebraic Numbers and Fuctions