M. Ram Murty

Problems in Analytic Number Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 506
• Erscheinungstermin: 16. April 2008
• Englisch
• ISBN-13: 9780387723501
• Artikelnr.: 43730032

Inhaltsangabe

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.

Rezensionen

"The reviewer strongly approves of the problem-based approach to learning, and recommends this book to any student of analytic number theory."

MATHEMATICAL REVIEWS

M.R. Murty Problems in Analytic Number Theory "The reviewer strongly approves of the problem-based approach to learning, and recommends this book to any student of analytic number theory." -MATHEMATICAL REVIEWS From the reviews of the second edition: "The second edition of the book has eleven chapters ... . the book can be used both as a problem book (as its title shows) and also as a textbook (as the series in which the book is published shows). ... is ideal as a text for a first course in analytic number theory, either at the senior undergraduate or the graduate level. ... I believe that this book will be very useful for students, researchers and professors. It is well written ... ." (Mehdi Hassani, MathDL, April, 2008)