Free Algebraic Number Theory ebooks. Categorized directory of free Algebraic Number Theory books. Read online or download free ebooks in different formats.
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20
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Author
Sudhir R. Ghorpade
Publisher
Indian Institute of Technology, Bombay 2002
These lectures are aimed at giving a rapid introduction to some basic aspects of Algebraic Number Theory with as few prerequisites as possible. Topics: Field Extensions; Ring Extensions; Dedekind Domains and Ramification Theory; Class Number and Lattices.
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18
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Category
Author
Sudhir R. Ghorpade
Publisher
Indian Institute of Technology, Bombay 2008
These are the notes of a series of five lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.
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22
Ebook Details
Author
Henri Darmon, Shou-Wu Zhang
Publisher
Cambridge University Press 2004
This volume, based on a workshop on Special Values of Rankin L-Series held at the MSRI in December 2001, is a collection of articles written by many of the leading contributors in the field, having the Gross-Zagier formula and its avatars as a common unifying theme.
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17
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Author
J. S. Milne
Publisher
2006
These are preliminary notes for a modern account of the theory of complex multiplication. The reader is expected to have a good knowledge of basic algebraic number theory, and basic algebraic geometry, including abelian varieties.
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19
Ebook Details
Author
William Stein
Publisher
University of Washington 2005
Topics in this book: Rings of integers of number fields; Unique factorization of ideals in Dedekind domains; Structure of the group of units of the ring of integers; Finiteness of the group of equivalence classes of ideals of the ring of integers.
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18
Ebook Details
Author
Y. Kitaoka
Publisher
Tata Institute of Fundamental Research 1986
This book is concerned with the problem of representation of positive definite quadratic forms by other such forms. From the table of contents: Preface; Fourier Coefficients of Siegel Modular Forms; Arithmetic of Quadratic Forms.
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22
Ebook Details
Author
J.S. Milne
Publisher
2008
Contents: Preliminaries From Commutative Algebra; Rings of Integers; Dedekind Domains; Factorization; The Finiteness of the Class Number; The Unit Theorem; Cyclotomic Extensions; Fermat's Last Theorem; Valuations; Local Fields; Global Fields.
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23
Ebook Details
Author
Robert B. Ash
Publisher
University of Illinois 2003
This is a text for a basic course in algebraic number theory, written to provide reasonable coverage for a one-semester course. The text covers the general theory of factorization of ideals in Dedekind
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