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Codes And Modular Forms

codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form;

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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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Lattices and Codes

relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an;

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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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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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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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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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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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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 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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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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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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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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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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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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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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Some Applications of Modular Forms

The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics;

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Codes and Rings

modular structure of skew-cyclic codes Supports applications in data compression, distributed storage, network coding, cryptography and;

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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 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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