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Cover: 9780387723495 | Problems in Analytic Number Theory | M. Ram Murty | Buch | xxii | 2007
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Problems in Analytic Number Theory
Buch von M. Ram Murty
Sprache: Englisch

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Beschreibung

This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on equidistribution.

About the first edition:

"...this monograph gives important results and techniques for specific topics, together with many exercises; it is not possible to describe adequately the wealth of material covered in this book."

- Wolfgang Schwarz, Zentralblatt

This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on equidistribution.

About the first edition:

"...this monograph gives important results and techniques for specific topics, together with many exercises; it is not possible to describe adequately the wealth of material covered in this book."

- Wolfgang Schwarz, Zentralblatt

Zusammenfassung
This book is a collection of about 500 problems in analytic number theory with the singular purpose of training the beginning graduate student in some of its significant techniques. This book, along with Murty's other book "Problems in Algebraic Number Theory" are intended to enable the student to gain a quick initiation into the beautiful subject of number theory. Since the subject is rapidly expanding such an expedient route becomes indispensable. The material in these two books provides a "basic tool kit" for the number theorist.
Inhaltsverzeichnis
Problems.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.- Solutions.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.
Details
Erscheinungsjahr: 2007
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 506
Inhalt: xxii
506 S.
ISBN-13: 9780387723495
ISBN-10: 0387723498
Sprache: Englisch
Herstellernummer: 11749059
Einband: Gebunden
Autor: Murty, M. Ram
Hersteller: Springer US, New York, N.Y.
Springer-Verlag New York Inc.
Maße: 245 x 163 x 56 mm
Von/Mit: M. Ram Murty
Erscheinungsdatum: 18.12.2007
Gewicht: 0,914 kg
preigu-id: 101944430
Zusammenfassung
This book is a collection of about 500 problems in analytic number theory with the singular purpose of training the beginning graduate student in some of its significant techniques. This book, along with Murty's other book "Problems in Algebraic Number Theory" are intended to enable the student to gain a quick initiation into the beautiful subject of number theory. Since the subject is rapidly expanding such an expedient route becomes indispensable. The material in these two books provides a "basic tool kit" for the number theorist.
Inhaltsverzeichnis
Problems.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.- Solutions.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.
Details
Erscheinungsjahr: 2007
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 506
Inhalt: xxii
506 S.
ISBN-13: 9780387723495
ISBN-10: 0387723498
Sprache: Englisch
Herstellernummer: 11749059
Einband: Gebunden
Autor: Murty, M. Ram
Hersteller: Springer US, New York, N.Y.
Springer-Verlag New York Inc.
Maße: 245 x 163 x 56 mm
Von/Mit: M. Ram Murty
Erscheinungsdatum: 18.12.2007
Gewicht: 0,914 kg
preigu-id: 101944430
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