Problems in Analytic Number Theory
By: Murty, M. Ram [author.].
Contributor(s): SpringerLink (Online service).
Material type: BookSeries: Graduate Texts in Mathematics: 206Publisher: New York, NY : Springer New York, 2008.Edition: 2.Description: XXII, 506 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387723501.Subject(s): Mathematics | Number theory | Combinatorics | Mathematics | Number Theory | CombinatoricsDDC classification: 512.7 Online resources: Click here to access onlineItem type | Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
E books | PK Kelkar Library, IIT Kanpur | Available | EBK10215 |
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.
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.
There are no comments for this item.