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On the Class Number of Abelian Number Fields

the first time. The book addresses three main topics: class number formulas for abelian number fields; expressions of the class number;

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Elementary and Analytic Theory of Algebraic Numbers

of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list;

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An Introduction to Non-Abelian Class Field Theory

representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields;

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Complex Multiplication and Lifting Problems

arithmetic of abelian varieties, such as the Main Theorem of Complex Multiplication and its generalisations, the finer aspects of Tate's work on;

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A Gentle Course in Local Class Field Theory

algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well;

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A Gentle Course in Local Class Field Theory

algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well;

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Class Groups of Number Fields and Related Topics

This book gathers original research papers and survey articles presented at the International Conference on Class Groups of Number Fields;

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Non-Abelian Fundamental Groups And Iwasawa Theory

Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative;

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Arithmetic Geometry And Number Theory

developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on;

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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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Periodic Locally Compact Groups

This authoritative book on periodic locally compact groups is divided into three parts: The first part covers the necessary background;

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London Mathematical Society Lecture Note Series

sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian;

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Modular Forms And Galois Cohomology

formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results;

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Cambridge Studies in Advanced Mathematics

formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results;

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Number Theory and Algebraic Geometry

in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse;

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Diophantine Approximation and Abelian Varieties

The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper Diophantine approximation on abelian;

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Basic Number Theory

From the reviews: L.R. Shafarevich showed me the first edition [...] and said that this book will be from now on the book about class field;

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Class Number Parity

This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and;

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Algebraic Number Theory

This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader;

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Arithmetic Geometry over Global Function Fields

. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough;

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Geometry, Algebra, Number Theory, and Their Information Technology Applications

of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L;

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Complex Multiplication

This is a self-contained 2010 account of the state of the art in classical complex multiplication that includes recent results on rings;

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Quadratic Number Fields

This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not;

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Introduction to Modern Number Theory

contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number;

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Introduction To Modern Number Theory Fun

contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number;

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Number Theory Related to Modular Curves

This volume contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a;

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Algebraic Number Theory

ALGEBRAIC NUMBER THEORY gives concisely both the fundamental and deepgoing theory, starting from the succinct ideal theory (Chapt. 1-3;

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