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OverviewThis informative and exhaustive study 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 the arithmetic progression of primes. Full Product DetailsAuthor: M. Ram MurtyPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2nd ed. 2008 Volume: 206 Dimensions: Width: 15.50cm , Height: 2.80cm , Length: 23.50cm Weight: 1.011kg ISBN: 9780387723495ISBN 10: 0387723498 Pages: 506 Publication Date: 18 December 2007 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of print, replaced by POD We will order this item for you from a manufatured on demand supplier. Table of ContentsProblems.- 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.ReviewsM.R. Murty <p>Problems in Analytic Number Theory <p> The reviewer strongly approves of the problem-based approach to learning, and recommends this book to any student of analytic number theory. <p>a MATHEMATICAL REVIEWS <p>From the reviews of the second edition: <p> The second edition of the book has eleven chapters a ] . 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). a ] is ideal as a text for a first course in analytic number theory, either at the senior undergraduate or the graduate level. a ] I believe that this book will be very useful for students, researchers and professors. It is well written a ] . (Mehdi Hassani, MathDL, April, 2008) 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |