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Harmonic Maass Forms and Mock Modular Forms

and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical;

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On the Theory of Maass Wave Forms

theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and 5 contain;

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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

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

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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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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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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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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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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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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide an introduction, in two volumes, both to this;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

Originally published in 1995, Cohomology of Drinfeld Modular Varieties aimed to provide an introduction, in two volumes, both to this;

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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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Families of Automorphic Forms and the Trace Formula

spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory;

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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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Families of Automorphic Forms

relation between automorphic forms and Dirichlet series to real analytic automorphic forms. The names Selberg and Roelcke are connected to the;

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Lectures On Modular Forms

This concise volume presents an expository account of the theory of modular forms and its application to number theory and analysis;

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Number Theory with an Emphasis on the Markoff Spectrum

; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the;

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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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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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Hilbert Modular Forms

Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this;

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Number Theory with an Emphasis on the Markoff Spectrum

; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the;

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A-Harmonic Equation with Differential Forms

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Number Theory

This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory.Kitaoka's;

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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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Elliptic Curves, Modular Forms and Iwasawa Theory

collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois;

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Modular Forms

This book is a translation of the earlier book written by Koji Doi and the author, who revised it substantially for this English edition;

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