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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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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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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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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

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 Curves and Big Galois Representations

The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a;

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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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Computational Aspects of Modular Forms and Galois Representations

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and;

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Complex Multiplication

of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the;

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Fermat's Last Theorem

proof relies on basic background materials in number theory and arithmetic geometry, such as elliptic curves, modular forms, Galois;

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Computational Aspects Of Algebraic Curves

on some Riemann-Roch spaces of modular curves, computation of Hurwitz spectra, generating systems of finite groups, Galois groups;

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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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Modular Forms and Fermat's Last Theorem

curves, modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles;

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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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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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Number Theory 3

action on some ideal class groups. This book also contains a short exposition on the arithmetic of elliptic curves and the proof of Fermat's last;

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Advanced Topics in the Arithmetic of Elliptic Curves

modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira;

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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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Modular Forms And Galois Cohomology

theory and results on elliptic modular forms, including a substantial simplification of the Taylor-Wiles proof by Fujiwara and Diamond. It;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Introduction to Arithmetic Theory of Automorphic Functions

associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed;

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Mordell Weil Lattices

the theory of Mordell-Weil lattices in detail, notably, relevant portions of lattice theory, elliptic curves, and algebraic surfaces. After;

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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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LMSST

is the little that is needed on Galois cohomology. Many examples and exercises are included for the reader. For those new to elliptic curves;

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London Mathematical Society Student Texts

is the little that is needed on Galois cohomology. Many examples and exercises are included for the reader. For those new to elliptic curves;

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Journees Arithmetiques 1980

number theory in general; elliptic curves and modular functions; local fields; additive number theory; Diophantine geometry, and uniform;

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