Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms write by YoungJu Choie. This book was released on 2019-11-20. Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms available in PDF, EPUB and Kindle. 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.
The 1-2-3 of Modular Forms
The 1-2-3 of Modular Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The 1-2-3 of Modular Forms write by Jan Hendrik Bruinier. This book was released on 2008-02-10. The 1-2-3 of Modular Forms available in PDF, EPUB and Kindle. 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.
Acta Arithmetica
Acta Arithmetica - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Acta Arithmetica write by . This book was released on 2009. Acta Arithmetica available in PDF, EPUB and Kindle.
Algebraic Aspects of Integrable Systems
Algebraic Aspects of Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Aspects of Integrable Systems write by A.S. Fokas. This book was released on 1996-10-01. Algebraic Aspects of Integrable Systems available in PDF, EPUB and Kindle. A collection of articles in memory of Irene Dorfman and her research in mathematical physics. Among the topics covered are: the Hamiltonian and bi-Hamiltonian nature of continuous and discrete integrable equations; the t-function construction; the r-matrix formulation of integrable systems; pseudo-differential operators and modular forms; master symmetries and the Bocher theorem; asymptotic integrability; the integrability of the equations of associativity; invariance under Laplace-darboux transformations; trace formulae of the Dirac and Schrodinger periodic operators; and certain canonical 1-forms.
Motives, Quantum Field Theory, and Pseudodifferential Operators
Motives, Quantum Field Theory, and Pseudodifferential Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Motives, Quantum Field Theory, and Pseudodifferential Operators write by Alan L. Carey. This book was released on 2010. Motives, Quantum Field Theory, and Pseudodifferential Operators available in PDF, EPUB and Kindle. 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.
