Quadratic and Hermitian Forms over Rings, Max-Albert Knus

Автор: Scharlau, W.
Название: Quadratic and hermitian forms
ISBN: 3642699731 ISBN-13(EAN): 9783642699733
Издательство: Springer
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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.

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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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: Anatolij N. Andrianov
Название: Quadratic Forms and Hecke Operators
ISBN: 3642703437 ISBN-13(EAN): 9783642703430
Издательство: Springer
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Описание: The numerous explicit formulae of the classical theory of quadratic forms revealed remarkable multiplicative properties of the numbers of integral representations of integers by positive definite integral quadratic forms.

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: 11878.00 р.
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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: Goro Shimura
Название: Arithmetic of Quadratic Forms
ISBN: 1461426189 ISBN-13(EAN): 9781461426189
Издательство: Springer
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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: 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: 19564.00 р.
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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: O. Timothy O`Meara
Название: Introduction to Quadratic Forms
ISBN: 3540665641 ISBN-13(EAN): 9783540665649
Издательство: Springer
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Описание: From the reviews: "Anyone who has heard O`Meara lecture will recognize in every page of this book the crispness and lucidity of the author`s style. [...] The organization and selection of material is superb. [...] deserves high praise as an excellent example of that too-rare type of mathematical exposition combining conciseness with clarity."

Автор: Young Jin Suh; Yoshihiro Ohnita; Jiazu Zhou; Byung
Название: Hermitian–Grassmannian Submanifolds
ISBN: 9811055556 ISBN-13(EAN): 9789811055553
Издательство: Springer
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Описание: This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF).

Автор: John P. D`Angelo
Название: Hermitian Analysis
ISBN: 1461485258 ISBN-13(EAN): 9781461485254
Издательство: Springer
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Описание: This integrated book begins by discussing Fourier series, Hilbert spaces and the Fourier transform on the real line, and then turns to the heart of the text, geometric considerations. The concept of orthogonality weaves the material into a coherent whole.

Автор: Sahin, Bayram
Название: Riemannian Submersions, Riemannian Maps in Hermitian Geometry, an
ISBN: 0128043911 ISBN-13(EAN): 9780128043912
Издательство: Elsevier Science
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Цена: 11706.00 р.
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Описание: Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel submersions, Hermitian manifolds, and K\{a}hlerian manifolds. Riemannian submersions have long been an effective tool to obtain new manifolds and compare certain manifolds within differential geometry. For complex cases, only holomorphic submersions function appropriately, as discussed at length in Falcitelli, Ianus and Pastore’s classic 2004 book. . In this new book, Bayram Sahin extends the scope of complex cases with wholly new submersion types, including Anti-invariant submersions, Semi-invariant submersions, slant submersions, and Pointwise slant submersions, also extending their use in Riemannian maps. . The work obtains new properties of the domain and target manifolds and investigates the harmonicity and geodesicity conditions for such maps. It also relates these maps with discoveries in pseudo-harmonic maps. Results included in this volume should stimulate future research on Riemannian submersions and Riemannian maps.

Автор: Duncan A. Buell
Название: Binary Quadratic Forms
ISBN: 1461288703 ISBN-13(EAN): 9781461288701
Издательство: Springer
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Цена: 15372.00 р.
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Автор: Johannes Buchmann; Ulrich Vollmer
Название: Binary Quadratic Forms
ISBN: 3642079717 ISBN-13(EAN): 9783642079719
Издательство: Springer
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Цена: 14673.00 р.
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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.