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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the;

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Harmonic Maass Forms and Mock Modular Forms

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;

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Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object;

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Modular Forms and Functions

This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its;

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Automorphic Forms And Zeta Functions - Proceedings Of The Conference In Memory Of Tsuneo Arakawa

of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works;

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Modular Forms

This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms;

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A Window into Zeta and Modular Physics

), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms;

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Window Into Zeta And Modular Physics

), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms;

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Modular Forms and Special Cycles on Shimura Curves. (AM-161)

Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both;

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Modular Forms

The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and fun;

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Modular Forms on Schiermonnikoog

Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and;

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Introduction to Arithmetic Theory of Automorphic Functions

ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number;

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Elliptic Curves. (MN-40), Volume 40

analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular;

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Elliptic and Modular Functions from Gauss to Dedekind to Hecke

This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth;

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Siegel Modular Forms: A Classical and Representation-Theoretic Approach

of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises;

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A Course in Arithmetic

. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses;

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Elliptic Curves, Modular Forms and Their L-functions

of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among;

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Partition Functions and Automorphic Forms

physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic;

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Partition Functions and Automorphic Forms

physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic;

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The 1-2-3 of Modular Forms

This book grew out of three series of lectures given at the summer school on Modular Forms and their Applications at the Sophus Lie;

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P-adic Aspects Of Modular Forms

The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are;

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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

multiple zeta-functions, classes of Euler products of zeta-functions, and L-functions associated with modular forms. This volume should be helpful;

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Problems in the Theory of Modular Forms

the undergraduate and graduate student for self-instruction. The topics covered include q-series, the modular group, the upper half-plane;

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Php4

learn to create forms, work with functions, use cookies, access relational databases, and debug PHP scripts. The modular approach of this series;

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Codes And Modular Forms

There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between;

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Abelian Varieties with Complex Multiplication and Modular Functions

modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth;

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Cambridge Studies in Advanced Mathematics

theory of modular forms illustrate these two aspects in an illuminating manner. The author's aim is to present a straightforward and easily;

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