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History of the Theory of Numbers (Volume III) Quadratic and Higher Forms With A Chapter on the Class Number

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Quadratic Irrationals

, the divisibility of class numbers by 16, F. Mertens' proof of Gauss's duplication theorem, and a theory of binary quadratic forms that departs;

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History of the Theory of Numbers

The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught;

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Rational Quadratic Forms

with integral coefficients, genera and spinor genera, reduction theory for definite forms, and Gauss' composition theory. The final chapter;

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History of the Theory of Numbers, Volume 3

The last volume of Dickson's History is the most modern, covering quadratic and higher forms. The treatment here is more general than;

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Bernoulli Numbers and Zeta Functions

. This leads to more advanced topics, a number of which are treated in this book: Historical remarks on Bernoulli numbers and the formula for the;

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An Invitation To Algebraic Numbers And Algebraic Functions

fields with a focus on quadratic, cubic and cyclotomic fields; basics of the analytic theory including the prime ideal theorem, density results;

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Arithmetic of Quadratic Forms

, and the main theorems are stated with an arbitrary number field as the base field. So the reader familiar with class field theory will be able;

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Introduction to Number Theory

clarity of his exposition. This is a book that reveals the discovery of the quadratic core of algebraic number theory. It should be on the desk;

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Invariants of Quadratic Differential Forms

concise account regarding the invariant theory connected with a single quadratic differential form. This book will be of value to anyone with an;

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Algebra and Number Theory

examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. Contents The;

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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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Algebraic Number Theory

class numbers, units, quadratic and cyclotomic fields, and analytical theory (Chapt.6-8), the important class field theory (Chap.9) is expounded;

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Complex Multiplication

theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field;

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Cambridge Tracts in Mathematics

This tract gives a fairly elementary account of the theory of quadratic forms with integral coefficients and variables. It assumes a;

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Analytic Number Theory

commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the birth of J.-L. Dirichlet. The volume begins with a;

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Primes Of The Form X2+ny2

An exciting approach to the history and mathematics of number theory ...the author s style is totally lucid and very easy to read ...the;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

Weil representations. Accordingly, the first two chapters develop the theory of finite quadratic modules and associated Weil representations;

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London Mathematical Society Lecture Note Series

17th problem, the Tsen-Lang theory of quasi algebraically closed fields, the level of topological spaces and systems of quadratic forms;

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A Course in Arithmetic

is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta;

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Experimental Number Theory

main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The;

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Methods of Solving Number Theory Problems

of deductive and intuitive thinking. The first chapter starts with simple topics like even and odd numbers, divisibility, and prime numbers and;

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Bilinear Algebra

of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic;

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Algebraic Number Theory

. New to the Second Edition Reorganization of all chapters More complete and involved treatment of Galois theory A study;

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Frontiers of Combinatorics & Number Theory

functions on rooted plane trees; class number one criteria for real quadratic fields with discriminant k2p2±4p; some product-to-sum identities; a;

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Frontiers of Combinatorics & Number Theory

functions on rooted plane trees; class number one criteria for real quadratic fields with discriminant k2p2+/-4p; some product-to-sum identities; a;

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Quadratic Number Fields

of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents;

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