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Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms


Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms
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Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms


Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms
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Author : YoungJu Choie
language : en
Publisher:
Release Date : 2019

Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms written by YoungJu Choie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Pseudodifferential operators categories.


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 or 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. .



Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms


Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms
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Author : YoungJu Choie
language : en
Publisher: Springer Nature
Release Date : 2019-11-20

Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms written by YoungJu Choie and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-20 with Mathematics categories.


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.



Acta Arithmetica


Acta Arithmetica
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Author :
language : en
Publisher:
Release Date : 2009

Acta Arithmetica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.




Motives Quantum Field Theory And Pseudodifferential Operators


Motives Quantum Field Theory And Pseudodifferential Operators
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Author : Alan L. Carey
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Motives Quantum Field Theory And Pseudodifferential Operators written by Alan L. Carey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitable for graduate students and new Ph.D.'s in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification.



Calabi Yau Varieties Arithmetic Geometry And Physics


Calabi Yau Varieties Arithmetic Geometry And Physics
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Author : Radu Laza
language : en
Publisher: Springer
Release Date : 2015-08-27

Calabi Yau Varieties Arithmetic Geometry And Physics written by Radu Laza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-27 with Mathematics categories.


This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi–Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross–Siebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical research in the area. The contributions in this book are based on lectures that took place during workshops with the following thematic titles: “Modular Forms Around String Theory,” “Enumerative Geometry and Calabi–Yau Varieties,” “Physics Around Mirror Symmetry,” “Hodge Theory in String Theory.” The book is ideal for graduate students and researchers learning about Calabi–Yau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties.



The 1 2 3 Of Modular Forms


The 1 2 3 Of Modular Forms
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Author : Jan Hendrik Bruinier
language : en
Publisher: Springer
Release Date : 2009-09-02

The 1 2 3 Of Modular Forms written by Jan Hendrik Bruinier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Mathematics categories.


This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.



Harmonic Maass Forms And Mock Modular Forms Theory And Applications


Harmonic Maass Forms And Mock Modular Forms Theory And Applications
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Author : Kathrin Bringmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-12-15

Harmonic Maass Forms And Mock Modular Forms Theory And Applications written by Kathrin Bringmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-15 with Mathematics categories.


Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.



Basic Hypergeometric Series And Applications


Basic Hypergeometric Series And Applications
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Author : Nathan Jacob Fine
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Basic Hypergeometric Series And Applications written by Nathan Jacob Fine and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.


The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. This book provides a simple approach to basic hypergeometric series.



Pdf Forms Using Acrobat And Livecycle Designer Bible


Pdf Forms Using Acrobat And Livecycle Designer Bible
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Author : Ted Padova
language : en
Publisher: John Wiley & Sons
Release Date : 2009-04-08

Pdf Forms Using Acrobat And Livecycle Designer Bible written by Ted Padova and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-08 with Computers categories.


This comprehensive guide to creating fillable forms with the latest release of Adobe Acrobat is packed with real-world insights and techniques gained from daily use of Adobe Acrobat and Adobe LiveCycle Designer under business deadline situations. You’ll get step-by-step instructions that show you how to easily create and implement interactive PDF forms using both Adobe Acrobat and Adobe LiveCycle Designer. Note: CD-ROM/DVD and other supplementary materials are not included as part of eBook file.



A First Course In Modular Forms


A First Course In Modular Forms
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Author : Fred Diamond
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-01-19

A First Course In Modular Forms written by Fred Diamond and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-19 with Mathematics categories.


This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.