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The 1-2-3 of Modular Forms

series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to;

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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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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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Modular Forms on Schiermonnikoog

Netherlands. A broad range of topics is covered including Hilbert and Siegel modular forms, Weil representations, Tannakian categories and Torelli's;

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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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Elliptic Curves, Hilbert Modular Forms And Galois Deformatio

. The notes by Mladen Dimitrov present the basics of the arithmetic theory of Hilbert modular forms and varieties, with an emphasis on the study;

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Modular Forms

-integral weight, Hilbert, Jacobi, Maass, and Siegel modular forms. Some gems of the book are an immediately implementable trace formula for;

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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 Course in Arithmetic

: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant +/- I;

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Intersections of Hirzebruch-Zagier Divisors and CM Cycles

is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the;

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Problems in the Theory of Modular Forms

This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, it can be used by;

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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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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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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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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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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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Functional Analysis

provide a smooth transition between elementary and advanced topics and its modular structure allows for an easy assimilation of the content;

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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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Siegel Modular Forms: A Classical and Representation-Theoretic Approach

This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel;

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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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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

. It offers the basic knowledge of elliptic modular forms necessary to understand recent developments in number theory. It also treats the unit;

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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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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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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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Half-discrete Hilbert-type Inequalities

In 1934, G. H. Hardy et al. published a book entitled Inequalities , in which a few theorems about Hilbert-type inequalities with;

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