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Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

2004-05-13 Computers
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Release : 2004-05-13
Genre : Computers
Kind : eBook
Book Rating : 224/5 ( reviews)

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Book Synopsis Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms by : Min Ho Lee

Download or read book Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms written by Min Ho Lee. This book was released on 2004-05-13. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.

Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms

2019-12-22 Mathematics
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Release : 2019-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 228/5 ( reviews)

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Book Synopsis Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms by : YoungJu Choie

Download or read book Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms written by YoungJu Choie. This book was released on 2019-12-22. Available in PDF, EPUB and Kindle. Book excerpt: This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail, including necessary background on pseudodifferential operators, Lie algebras, etc., to make it accessible also to non-specialists. The book also covers a sufficiently broad range of illustrations of how the main themes of the book have occurred in various parts of mathematics to make it attractive to a wider audience. The book is intended for researchers and graduate students in number theory.

Mixed Automorphic Forms, Torus Bundles, and Jaboci Forms

2004
Download Mixed Automorphic Forms, Torus Bundles, and Jaboci Forms PDF Online Free

Author :
Release : 2004
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Mixed Automorphic Forms, Torus Bundles, and Jaboci Forms by : Min Ho Lee

Download or read book Mixed Automorphic Forms, Torus Bundles, and Jaboci Forms written by Min Ho Lee. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt:

Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

2004-05-13 Mathematics
Download Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms PDF Online Free

Author :
Release : 2004-05-13
Genre : Mathematics
Kind : eBook
Book Rating : 224/5 ( reviews)

GET EBOOK


Book Synopsis Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms by : Min Ho Lee

Download or read book Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms written by Min Ho Lee. This book was released on 2004-05-13. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.

The Theory of Jacobi Forms

2013-12-14 Mathematics
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Release : 2013-12-14
Genre : Mathematics
Kind : eBook
Book Rating : 628/5 ( reviews)

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Book Synopsis The Theory of Jacobi Forms by : Martin Eichler

Download or read book The Theory of Jacobi Forms written by Martin Eichler. This book was released on 2013-12-14. Available in PDF, EPUB and Kindle. Book excerpt: The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t\-10 transformation eouations 2Tiimcz· k CT +d a-r +b z) (1) ((cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four·ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE~ n=O 2 r ~ 4nm Here k and m are natural numbers, called the weight and index of rp, respectively. Note that th e function cp (T, 0) is an ordinary modular formofweight k, whileforfixed T thefunction z-+rjl( -r, z) isa function of the type normally used to embed the elliptic curve ~/~T + ~ into a projective space. If m= 0, then cp is independent of z and the definition reduces to the usual notion of modular forms in one variable. We give three other examples of situations where functions satisfying (1)-(3) arise classically: 1. Theta series. Let Q: ~-+ ~ be a positive definite integer valued quadratic form and B the associated bilinear form.

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