Evaluation Of Units In Pure Cubic Number Fields

DOWNLOAD

Download Evaluation Of Units In Pure Cubic Number Fields PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Evaluation Of Units In Pure Cubic Number Fields book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Evaluation Of Units In Pure Cubic Number Fields

DOWNLOAD
Author : Marta Sved
language : en
Publisher:
Release Date : 1965

Evaluation Of Units In Pure Cubic Number Fields written by Marta Sved and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.

Asymptotics Of Cubic Number Fields With Bounded Second Successive Minimum Of The Trace Form

DOWNLOAD
Author : Gero Brockschnieder
language : en
Publisher: diplom.de
Release Date : 2018-06-26

Asymptotics Of Cubic Number Fields With Bounded Second Successive Minimum Of The Trace Form written by Gero Brockschnieder and has been published by diplom.de this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-26 with Mathematics categories.

Algebraic number fields, particularly of small degree n, have been treated in detail in several publications during the last years. The subject that has been investigated the most is the computation of lists of number fields K with field discriminant d(K) less than or equal to a given bound D and the computation of the minimal value of the discriminant for a given degree n (and often also signature (r1, r2)) of the number fields. The distinct cases of different degrees, as well as the different numbers of real and complex embeddings, respectively, are usually treated independently of each other since each case itself offers a broad set of problems and questions. In some of the cases the applied methods and algorithms have been notably improved over the years. Each value for the degree n of the investigated fields represents a huge and interesting set of problems and questions that can be treated on its own. The case we will concentrate on in this thesis is n = 3. Algebraic number fields of degree 3 are often referred to as cubic fields and, in a way, their investigation is easier than the investigation of higher degree fields since the higher the degree of the field, the higher the number of possible signatures (i.e. combinations of real and complex embeddings of the field). In this thesis, we will concentrate only on totally real cubic fields. Totally real fields are those fields K for which each embedding of K into the complex numbers C has an image that lies inside the real numbers R. The purpose of this thesis is to show that the number of isomorphism classes of cubic fields K whose second successive minima M2(K), as introduced by Minkowski, are less than or equal to a given bound X is asymptotically equal (in X) to the number of cubic polynomials defining these fields modulo a relation P which will be explained in detail.

The Class Numbers Of Certain Special Pure Cubic Fields

DOWNLOAD
Author : Samuel Thomas Sanders
language : en
Publisher:
Release Date : 1927

The Class Numbers Of Certain Special Pure Cubic Fields written by Samuel Thomas Sanders and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Number theory categories.

Orders In Pure Cubic Number Fields

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2014

Orders In Pure Cubic Number Fields written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.

Fundamental Units In Cubic Number Fields

DOWNLOAD
Author : Ronald Joel Rudman
language : en
Publisher:
Release Date : 1971

Fundamental Units In Cubic Number Fields written by Ronald Joel Rudman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Algebraic fields categories.

Quadratic Number Fields

DOWNLOAD
Author : Franz Lemmermeyer
language : en
Publisher: Springer Nature
Release Date : 2021-09-18

Quadratic Number Fields written by Franz Lemmermeyer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-18 with Mathematics categories.

This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study. Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.

Mathematics Of Computation

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1980

Mathematics Of Computation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.

The Story Of Algebraic Numbers In The First Half Of The 20th Century

DOWNLOAD
Author : Władysław Narkiewicz
language : en
Publisher: Springer
Release Date : 2019-01-18

The Story Of Algebraic Numbers In The First Half Of The 20th Century written by Władysław Narkiewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-18 with Mathematics categories.

The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research.

Publicationes Mathematicae

DOWNLOAD
Author : Kossuth Lajos Tudományegyetem. Matematikai Intézet
language : en
Publisher:
Release Date : 1991

Publicationes Mathematicae written by Kossuth Lajos Tudományegyetem. Matematikai Intézet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

Mathematical Reviews

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2006

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.