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Theta Functions, Jun-ichi Igusa


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Автор: Jun-ichi Igusa
Название:  Theta Functions
ISBN: 9783642653179
Издательство: Springer
Классификация: ISBN-10: 3642653170
Обложка/Формат: Paperback
Страницы: 234
Вес: 0.36 кг.
Дата издания: 11.11.2011
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The theory of theta functions has a long history; for this, we refer A. Krazer and W. Wirtinger the reader to an encyclopedia article by (Sources 9]). We shall restrict ourselves to postwar, i. e., after 1945, periods. Around 1948/49, F. Conforto, c. L. Siegel, A. Well reconsidered the main existence theorems of theta functions and found natural proofs for them. These are contained in Conforto: Abelsche Funktionen und algebraische Geometrie, Springer (1956); Siegel: Analytic functions of several complex variables, Lect. Notes, I. A. S. (1948/49); Well: Theoremes fondamentaux de la theorie des fonctions theta, Sem. Bourbaki, No. 16 (1949). The complete account of Weils method appeared in his book of 1958 20]. The next important achievement was the theory of compacti- fication of the quotient variety of Siegels upper-half space by a modular group. There are many ways to compactify the quotient variety; we are talking about what might be called a standard compactification. Such a compactification was obtained first as a Hausdorff space by I. Satake in On the compactification of the Siegel space, J. Ind. Math. Soc. 20, 259-281 (1956), and as a normal projective variety by W. L. Baily in 1958 1]. In 1957/58, H. Cartan took up this theory in his seminar 3]; it was shown that the graded ring of modular forms relative to the given modular group is a normal integral domain which is finitely generated over C.


Basic Immunology, Functions and Disorders of the Immune System, 5th Edition

Автор: Abul K. Abbass, Andrew H. H. Lichtman, Shiv Pillai
Название: Basic Immunology, Functions and Disorders of the Immune System, 5th Edition
ISBN: 032339082X ISBN-13(EAN): 9780323390828
Издательство: Elsevier Science
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Цена: 5570.00 р. 7957.00 -30%
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Описание: In this updated edition of Basic Immunology, the authors continue to deliver a clear, modern introduction to immunology, making this the obvious choice for today's busy students. Their experience as teachers, course directors, and lecturers helps them to distill the core information required to understand this complex field. Through the use of high-quality illustrations, relevant clinical cases, and concise, focused text, it's a perfectly accessible introduction to the workings of the human immune system.

Ramanujan`s Theta Functions

Автор: Shaun Cooper
Название: Ramanujan`s Theta Functions
ISBN: 3319561715 ISBN-13(EAN): 9783319561714
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Preface.- 0. Sum to Product Identities.- 1. Elliptic Functions.- 2. Transformations.- 3. Theta Functions.- 4. Levels 1, 2, 3, and 4: Jacobi's Inversion Theorem and Ramanujan's Alternative Theories.- 5. Level 5: The Rogers-Ramanujan Continued Fraction.- 6. Level 6: Ramanujan's Cubic Continued Fraction.- 7. Level 7.- 8. Level 8: The Ramanujan-Gollnitz-Gordon Continued Fraction.- 9. Level 9.- 10. Level 10: Ramanujan's Function k.- 11. Levels 11 and 23.- 12. Level 12.- 13. Hypergeometric Modular Transformations.- 14. Ramanujan's Series for 1/pi.- References.

Cubic Metaplectic Forms and Theta Functions

Автор: Nikolai Proskurin
Название: Cubic Metaplectic Forms and Theta Functions
ISBN: 3540637516 ISBN-13(EAN): 9783540637516
Издательство: Springer
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Цена: 6288.00 р.
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Описание: This text is designed for students and researchers interested in metaplectic forms, theta functions, Eisenstein series and algebraic number theory. Topics covered include Kubota and Bass-Milnor-Serre homomorphisms; group SL(3,C); discrete subgroups; and cubic metaplectic forms on SL(3,C)/SU(3).

Theta Functions and Knots

Автор: Gelca Razvan
Название: Theta Functions and Knots
ISBN: 9814520578 ISBN-13(EAN): 9789814520577
Издательство: World Scientific Publishing
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Цена: 23760.00 р.
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Описание:

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology.

Theta Functions and Knots can be read in two perspectives. Readers with an interest in theta functions or knot theory can learn how the two are related. Those interested in Chern-Simons theory will find here an introduction using the simplest case, that of abelian Chern-Simons theory. Moreover, the construction of abelian Chern-Simons theory is based entirely on quantum mechanics and not on quantum field theory as it is usually done.

Both the theory of theta functions and low dimensional topology are presented in detail, in order to underline how deep the connection between these two fundamental mathematical subjects is. Hence the book is self-contained with a unified presentation. It is suitable for an advanced graduate course, as well as for self-study.

Theta Functions on Riemann Surfaces

Автор: J. D. Fay
Название: Theta Functions on Riemann Surfaces
ISBN: 3540065172 ISBN-13(EAN): 9783540065173
Издательство: Springer
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Цена: 3487.00 р.
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Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups

Автор: R.D.M. Accola
Название: Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups
ISBN: 3540073981 ISBN-13(EAN): 9783540073987
Издательство: Springer
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Цена: 3487.00 р.
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Complex Abelian Varieties and Theta Functions

Автор: George R. Kempf
Название: Complex Abelian Varieties and Theta Functions
ISBN: 3540531688 ISBN-13(EAN): 9783540531685
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Focuses on analytical aspects of the geometry of abelian varieties, in order to provide an introduction to complex analytic geometry. The text features the systematic use of Mumford`s theta group, which allows the author to provide precise results about the projective ideal of an abelian variety.

Riemann Surfaces and Generalized Theta Functions

Автор: Robert C. Gunning
Название: Riemann Surfaces and Generalized Theta Functions
ISBN: 3642663842 ISBN-13(EAN): 9783642663840
Издательство: Springer
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Цена: 12577.00 р.
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Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold

Автор: L. Auslander; R. Tolimieri
Название: Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold
ISBN: 3540071342 ISBN-13(EAN): 9783540071341
Издательство: Springer
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Цена: 3487.00 р.
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The Heat Kernel and Theta Inversion on SL2(C)

Автор: Jay Jorgenson; Serge Lang
Название: The Heat Kernel and Theta Inversion on SL2(C)
ISBN: 1441922822 ISBN-13(EAN): 9781441922823
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The purpose of this text is to provide a self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C). Unlike other treatments of the theory, this one begins with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion.

The Heat Kernel and Theta Inversion on SL2(C)

Автор: Jay Jorgenson; Serge Lang
Название: The Heat Kernel and Theta Inversion on SL2(C)
ISBN: 0387380310 ISBN-13(EAN): 9780387380315
Издательство: Springer
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Цена: 23058.00 р.
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Описание: Provides the development of the trace formula and theta inversion formula for SL(2,Z[i]) SL(2,C). Unlike other treatments of the theory, this book begins with the heat kernel on SL(2,C) associated to the invariant Laplacian, which is derived using spherical inversion.


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