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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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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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Some Applications of Modular Forms

, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing;

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Modular Forms on Schiermonnikoog

fields. This collection of up-to-date articles originated from the conference 'Modular Forms' held on the Island of Schiermonnikoog in the;

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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 Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions;

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Cambridge Studies in Advanced Mathematics

undertake original research. This book is based on lectures given by the author for a number of years and is intended for a one-semester graduate;

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Cambridge Studies in Advanced Mathematics

undertake original research. This book is based on lectures given by the author for a number of years and is intended for a one-semester graduate;

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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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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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Modular Forms and Functions

of the theory presented here is fuller than is customary in a textbook on automorphic or modular forms, since it is not confined solely to;

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Modular Forms

modular forms are explained, with an emphasis on explicit examples. The heart of the book is the classical theory developed by Hecke and continued;

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Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

differential operators on modular forms which have nice arithmetical properties. A new method of p-adic interpolation of these critical values;

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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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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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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

This volume contains lectures presented at the French-Japanese Winter School on Zeta and L-functions, held at Muira, Japan, 2008. The main;

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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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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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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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p-Adic Automorphic Forms on Shimura Varieties

automorphic forms p-adic analytically de pending on their weights, and this book is the outgrowth of the lectures given there.;

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

of modular forms and zeta functions are covered: Theta series and the basis problems, Jacobi forms, automorphic forms on Sp(1, q), double zeta;

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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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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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Number Theory Related to Modular Curves

of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian;

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Elliptic Curves. (MN-40), Volume 40

An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are;

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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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