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Discriminant Equations In Diophantine Nu

the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.;

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Unit Equations In Diophantine Number The

. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required;

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Equations and Inequalities

, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical;

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Quadratic Number Fields

usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings;

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Exponential Diophantine Equations

of algebraic numbers. Topics covered include the Thue equations, the generalised hyperelliptic equation, and the Fermat and Catalan equations. The;

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Number Theory: Volume II

equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic;

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Analytic Number Theory

, using results from algebraic geometry and the geometry of numbers; the theory of Siegel's zeros and of exceptional characters of L-functions;

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Diophantine Equations and Inequalities in Algebraic Number Fields

and Littlewood (see [Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The;

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Number Theory

and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number;

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Number Theory

and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number;

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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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Competitive Math for Middle School: Algebra, Probability, and Number Theory

(solving single equations and systems of equations of varying degrees, algebraic manipulations for creative problem solving, inequalities, basic;

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Maths from Low to High Level Exercises Solved

, vectors and algebraic geometry, integral domains, Diophantine equations, linear algebra, absolute value, inequalities (any of them using absolute;

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Lectures on Arakelov Geometry

students and researchers in number theory and algebraic geometry. Complex analysts and differential geometers will also find in it a clear account;

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Cambridge Mathematical Library

Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it;

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Arakelov Geometry and Diophantine Applications

interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic;

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Introductory Algebraic Number Theory

Algebraic number theory is a subject which came into being through the attempts of mathematicians to try to prove Fermat's last theorem and;

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Introductory Algebraic Number Theory

Algebraic number theory is a subject which came into being through the attempts of mathematicians to try to prove Fermat's last theorem and;

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Advanced Number Theory with Applications

Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic;

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Advanced Number Theory with Applications

Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic;

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Introduction To Diophantine Equations

are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations;

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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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Lecture Notes on Diophantine Analysis

celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a;

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The Algorithmic Resolution of Diophantine Equations

is included. This book will appeal to graduate students and research workers, with a basic knowledge of number theory, who are interested in solving;

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The Algorithmic Resolution of Diophantine Equations

is included. This book will appeal to graduate students and research workers, with a basic knowledge of number theory, who are interested in solving;

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Surveys in Geometry and Number Theory

specialists who are associated with strong research groups in Moscow and St. Petersburg in the fields of algebraic geometry and number theory. Their;

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P-Adic Functional Analysis

systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.;

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