The Composition Of Binary Quadratic Forms
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The Composition Of Binary Quadratic Forms
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Author : Edward Charles Zeiger
language : en
Publisher:
Release Date : 1935
The Composition Of Binary Quadratic Forms written by Edward Charles Zeiger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1935 with categories.
Binary Quadratic Forms
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Author : Duncan A. Buell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Binary Quadratic Forms written by Duncan A. Buell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae. During the nine teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega,nt and abstract theory which, unfortunately, is not computationally explicit. In recent years the original theory has been laid aside. Gauss's proofs, which involved brute force computations that can be done in what is essentially a two dimensional vector space, have been dropped in favor of n-dimensional arguments which prove the general theorems of algebraic number the ory. In consequence, this elegant, yet pleasantly simple, theory has been neglected even as some of its results have become extremely useful in certain computations. I find this neglect unfortunate, because binary quadratic forms have two distinct attractions. First, the subject involves explicit computa tion and many of the computer programs can be quite simple. The use of computers in experimenting with examples is both meaningful and enjoyable; one can actually discover interesting results by com puting examples, noticing patterns in the "data," and then proving that the patterns result from the conclusion of some provable theorem.
Composition And Characters Of Binary Quadratic Forms
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Author : C. S. Iliopoulos
language : en
Publisher:
Release Date : 1982
Composition And Characters Of Binary Quadratic Forms written by C. S. Iliopoulos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Applied mathematics categories.
Composition Of Binary Quadratic Forms Over Suprafinitive Integral Domains
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Author : Constance Jane Boyd
language : en
Publisher:
Release Date : 1966
Composition Of Binary Quadratic Forms Over Suprafinitive Integral Domains written by Constance Jane Boyd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Forms, Binary categories.
Composition Of Binary Quadratic Forms Over Integral Domains
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Author : Bill J. Dulin
language : en
Publisher:
Release Date : 1969
Composition Of Binary Quadratic Forms Over Integral Domains written by Bill J. Dulin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Forms, Binary categories.
Structure Of The Class Group Of Indefinite Binary Quadratic Forms Under Composition
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Author : George Ross Grainger
language : en
Publisher:
Release Date : 1949
Structure Of The Class Group Of Indefinite Binary Quadratic Forms Under Composition written by George Ross Grainger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Forms, Binary categories.
Structure Of The Class Group Of Positive Binary Quadratic Forms Under Composition
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Author : Mary Virgilia Dragowski
language : en
Publisher:
Release Date : 1949
Structure Of The Class Group Of Positive Binary Quadratic Forms Under Composition written by Mary Virgilia Dragowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Forms, Binary categories.
History Of The Theory Of Numbers Volume Iii
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Author : Leonard Eugene Dickson
language : en
Publisher: Courier Corporation
Release Date : 2005-06-03
History Of The Theory Of Numbers Volume Iii written by Leonard Eugene Dickson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-03 with Mathematics categories.
The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This final volume in the series, which is suitable for upper-level undergraduates and graduate students, is devoted to quadratic and higher forms. It can be read independently of the preceding volumes, which explore divisibility and primality and diophantine analysis. Topics include reduction and equivalence of binary quadratic forms and representation of integers; composition of binary quadratic forms; the composition of orders and genera; irregular determinants; classes of binary quadratic forms with integral coefficients; binary quadratic forms whose coefficients are complete integers or integers of a field; classes of binary quadratic forms with complex integral coefficients; ternary and quaternary quadratic forms; cubic forms in three or more variables; binary hermitian forms; bilinear forms, matrices, and linear substitutions; congruencial theory of forms; and many other related topics. Indexes of authors cited and subjects appear at the end of the book.
Binary Quadratic Forms
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Author : Johannes Buchmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-22
Binary Quadratic Forms written by Johannes Buchmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-22 with Mathematics categories.
The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory.
Unpublished Results On Number Theory 2 Composition Theory Of Binary Quadratic Forms
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Author : S. Lubelski
language : en
Publisher:
Release Date : 1961
Unpublished Results On Number Theory 2 Composition Theory Of Binary Quadratic Forms written by S. Lubelski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.