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

conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.;

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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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Number Theory and Geometry

Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians;

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Algebraic Geometry Codes

of mathematics. On one hand, it involves such classical areas as algebraic geometry and number theory; on the other, it is connected to information;

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Noncommutative Geometry

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The;

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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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Combinatorial and Additive Number Theory III

Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these;

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Frontiers in Number Theory, Physics, and Geometry II

broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three;

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Number Theory, Analysis and Geometry

moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the;

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Number Theory, Analysis and Geometry

moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the;

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Lectures on Logarithmic Algebraic Geometry

analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the;

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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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Number Theory with an Emphasis on the Markoff Spectrum

mathematicians in harmonic analysis, number theory algebra, geometry and probability and graduate students in these disciplines.;

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Number, Shape, & Symmetry

Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group;

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Noncommutative Geometry, Arithmetic, And Related Topics

the intersection of noncommutative geometry and number theory. The interplay between these two fields centers on the study of the rich;

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Noncommutative Geometry

key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation;

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Classical Topics In Discrete Geometry

- matics, including convex and combinatorial geometry, coding theory, calculus of variations, di erential geometry, group theory, and topology, as;

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Undergraduate Algebraic Geometry

algebra as well as its relation to topology, differential geometry, and number theory. The book contains numerous examples and exercises;

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Number Theory

broad spectrum of research in number theory and related fields of mathematics, from physics to geometry to combinatorics and computer science;

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Number Theory with an Emphasis on the Markoff Spectrum

mathematicians in harmonic analysis, number theory algebra, geometry and probability and graduate students in these disciplines.;

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Geometric and Analytic Number Theory

book on number theory. On the one hand for a reader who has studied elementary number theory, and who has knowledge of analytic geometry;

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Finite Fields

in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.;

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Number Theory

of number theory. The main sub-divisions of number theory are analytical number theory, algebraic number theory and Diophantine geometry. Some;

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London Mathematical Society Lecture Note Series Model Theory with Applications to Algebra and Analysis

The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real;

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Model Theory with Applications to Algebra and Analysis, Volume 2

The second of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real;

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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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Arithmetic Differential Equations

. For most of the book, the only prerequisites are the basic facts of algebraic geometry and algebraic number theory. It is suitable for;

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