Mixed Automorphic Forms Torus Bundles And Jacobi Forms
Download Mixed Automorphic Forms Torus Bundles And Jacobi Forms full books in PDF, epub, and Kindle. Read online free Mixed Automorphic Forms Torus Bundles And Jacobi Forms ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Min Ho Lee |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 262 |
Release |
: 2004-05-13 |
ISBN-10 |
: 3540219226 |
ISBN-13 |
: 9783540219224 |
Rating |
: 4/5 (26 Downloads) |
Synopsis Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms by : Min Ho Lee
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.
Author |
: YoungJu Choie |
Publisher |
: Springer |
Total Pages |
: 296 |
Release |
: 2019-12-22 |
ISBN-10 |
: 3030291227 |
ISBN-13 |
: 9783030291228 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms by : YoungJu Choie
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.
Author |
: Min Ho Lee |
Publisher |
: |
Total Pages |
: |
Release |
: 2004 |
ISBN-10 |
: OCLC:769231915 |
ISBN-13 |
: |
Rating |
: 4/5 (15 Downloads) |
Synopsis Mixed Automorphic Forms, Torus Bundles, and Jaboci Forms by : Min Ho Lee
Author |
: Min Ho Lee |
Publisher |
: Springer |
Total Pages |
: 250 |
Release |
: 2004-05-13 |
ISBN-10 |
: 3540219226 |
ISBN-13 |
: 9783540219224 |
Rating |
: 4/5 (26 Downloads) |
Synopsis Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms by : Min Ho Lee
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.
Author |
: Martin Eichler |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 156 |
Release |
: 2013-12-14 |
ISBN-10 |
: 9781468491623 |
ISBN-13 |
: 1468491628 |
Rating |
: 4/5 (23 Downloads) |
Synopsis The Theory of Jacobi Forms by : Martin Eichler
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.
Author |
: Franco Flandoli |
Publisher |
: Springer |
Total Pages |
: 187 |
Release |
: 2011-03-02 |
ISBN-10 |
: 9783642182310 |
ISBN-13 |
: 3642182313 |
Rating |
: 4/5 (10 Downloads) |
Synopsis Random Perturbation of PDEs and Fluid Dynamic Models by : Franco Flandoli
The book deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-up. The aim is to show that noise may restore uniqueness or prevent blow-up. This is not a general or easy-to-apply rule, and the theory presented in the book is in fact a series of examples with a few unifying ideas. The role of additive and bilinear multiplicative noise is described and a variety of examples are included, from abstract parabolic evolution equations with non-Lipschitz nonlinearities to particular fluid dynamic models, like the dyadic model, linear transport equations and motion of point vortices.
Author |
: Paul Frank Baum |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 322 |
Release |
: 2010-11-05 |
ISBN-10 |
: 9783642157073 |
ISBN-13 |
: 3642157076 |
Rating |
: 4/5 (73 Downloads) |
Synopsis Topics in Algebraic and Topological K-Theory by : Paul Frank Baum
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.
Author |
: Marcus du Sautoy |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 217 |
Release |
: 2008 |
ISBN-10 |
: 9783540747017 |
ISBN-13 |
: 354074701X |
Rating |
: 4/5 (17 Downloads) |
Synopsis Zeta Functions of Groups and Rings by : Marcus du Sautoy
Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.
Author |
: Alice Guionnet |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 296 |
Release |
: 2009-03-25 |
ISBN-10 |
: 9783540698968 |
ISBN-13 |
: 3540698965 |
Rating |
: 4/5 (68 Downloads) |
Synopsis Large random matrices by : Alice Guionnet
These lectures emphasize the relation between the problem of enumerating complicated graphs and the related large deviations questions. Such questions are closely related with the asymptotic distribution of matrices.
Author |
: Bernard Roynette |
Publisher |
: Springer |
Total Pages |
: 291 |
Release |
: 2009-07-31 |
ISBN-10 |
: 9783540896999 |
ISBN-13 |
: 3540896996 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Penalising Brownian Paths by : Bernard Roynette
Penalising a process is to modify its distribution with a limiting procedure, thus defining a new process whose properties differ somewhat from those of the original one. We are presenting a number of examples of such penalisations in the Brownian and Bessel processes framework. The Martingale theory plays a crucial role. A general principle for penalisation emerges from these examples. In particular, it is shown in the Brownian framework that a positive sigma-finite measure takes a large class of penalisations into account.