Quadratic Number Theory: An Invitation to Algebraic Methods in the Higher Arithmetic, J.L. Lehman

Автор: Goro Shimura
Название: Arithmetic of Quadratic Forms
ISBN: 1461426189 ISBN-13(EAN): 9781461426189
Издательство: Springer
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Цена: 130430.00 T
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Описание: This book examines algebraic number theory and the theory of semisimple algebras. It covers classification over an algebraic number field and classification over the ring of algebraic integers.

Автор: Trifkovic Mak
Название: Algebraic Theory of Quadratic Numbers
ISBN: 1461477166 ISBN-13(EAN): 9781461477167
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book shows the techniques of elementary arithmetic, ring theory and linear algebra working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. Includes numerous exercises.

Автор: Krishnaswami Alladi; Manjul Bhargava; David Savitt
Название: Quadratic and Higher Degree Forms
ISBN: 1461474876 ISBN-13(EAN): 9781461474876
Издательство: Springer
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Цена: 130430.00 T
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Описание: Preface.- Toy Models for D. H. Lehmer's Conjecture II (E. Bannai, T. Miezaki).- On the Representation of an Integer by X2+Y2+Z2 and the Modular Equations of Degree 3 and 5 (A. Berkovich).- Almost Universal Ternary Sums of Squares and Triangular Numbers (W. Chan, A. Haensch).- Weighted Generating Functions for Type II Lattices and Codes (N. Elkies, S. Kominers).- Quadratic and Automorphic Forms (J. Hanke).- Integral Positive Ternary Quadratic Forms (W. Jagy).- Some Aspects of the Algebraic Theory of Quadratic Forms (R. Parimala).- On the Length of Binary Forms (B. Reznick).- Representation of Quadratic Forms by Integral Quadratic Forms (R. Schulze-Pillot).- Identifying the Matrix Ring (J. Voight).

Автор: Krishnaswami Alladi; Manjul Bhargava; David Savitt
Название: Quadratic and Higher Degree Forms
ISBN: 1493901443 ISBN-13(EAN): 9781493901449
Издательство: Springer
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Цена: 79190.00 T
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Описание: Preface.- Toy Models for D. H. Lehmer's Conjecture II (E. Bannai, T. Miezaki).- On the Representation of an Integer by X2+Y2+Z2 and the Modular Equations of Degree 3 and 5 (A. Berkovich).- Almost Universal Ternary Sums of Squares and Triangular Numbers (W. Chan, A. Haensch).- Weighted Generating Functions for Type II Lattices and Codes (N. Elkies, S. Kominers).- Quadratic and Automorphic Forms (J. Hanke).- Integral Positive Ternary Quadratic Forms (W. Jagy).- Some Aspects of the Algebraic Theory of Quadratic Forms (R. Parimala).- On the Length of Binary Forms (B. Reznick).- Representation of Quadratic Forms by Integral Quadratic Forms (R. Schulze-Pillot).- Identifying the Matrix Ring (J. Voight).

Автор: Hatice Boylan
Название: Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields
ISBN: 3319129155 ISBN-13(EAN): 9783319129150
Издательство: Springer
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Цена: 32600.00 T
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Описание: The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields.

Автор: John Horton Conway
Название: The Sensual (Quadratic) Form
ISBN: 0883850400 ISBN-13(EAN): 9780883850404
Издательство: Cambridge Academ
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Цена: 26400.00 T
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Описание: Quadratic forms are presented in a pictorial way, elucidating many topics in algebra, number theory and geometry.

Автор: M. Dickmann, F. Miraglia
Название: Faithfully Quadratic Rings
ISBN: 1470414686 ISBN-13(EAN): 9781470414689
Издательство: Mare Nostrum (Eurospan)
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Цена: 81310.00 T
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Описание: In this monograph the authors extend the classical algebraic theory of quadratic forms over fields to diagonal quadratic forms with invertible entries over broad classes of commutative, unitary rings where $-1$ is not a sum of squares and $2$ is invertible.

Автор: Duncan A. Buell
Название: Binary Quadratic Forms
ISBN: 1461288703 ISBN-13(EAN): 9781461288701
Издательство: Springer
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Цена: 102480.00 T
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Автор: Andreescu Titu
Название: Quadratic Diophantine Equations
ISBN: 1493938800 ISBN-13(EAN): 9781493938803
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open problems.

Автор: Max-Albert Knus
Название: Quadratic and Hermitian Forms over Rings
ISBN: 3642754031 ISBN-13(EAN): 9783642754036
Издательство: Springer
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Цена: 88500.00 T
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Описание: From its birth (in Babylon?) till 1936 the theory of quadratic forms dealt almost exclusively with forms over the real field, the complex field or the ring of integers. Around 1960 the development of algebraic topology and algebraic K-theory led to the study of quadratic forms over commutative rings and hermitian forms over rings with involutions.

Автор: Johannes Buchmann; Ulrich Vollmer
Название: Binary Quadratic Forms
ISBN: 3642079717 ISBN-13(EAN): 9783642079719
Издательство: Springer
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Цена: 97820.00 T
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Описание: 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.

Автор: Scharlau, W.
Название: Quadratic and hermitian forms
ISBN: 3642699731 ISBN-13(EAN): 9783642699733
Издательство: Springer
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Цена: 93160.00 T
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Описание: For a long time - at least from Fermat to Minkowski - the theory of quadratic forms was a part of number theory. On the basis of both - the number theory of quadratic forms and the ideas of modern algebra - Witt opened, in 1937, a new chapter in the theory of quadratic forms.