Problems in Analytic Number Theory

Inbunden, Engelska, 2007

Av M. Ram Murty, U.S.R. Murty

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This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. It provides a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers.

Produktinformation

Utgivningsdatum2007-12-18
Mått155 x 235 x 29 mm
Vikt920 g
FormatInbunden
SpråkEngelska
SerieGraduate Texts in Mathematics
Antal sidor506
Upplaga2
FörlagSpringer-Verlag New York Inc.
ISBN9780387723495

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Talteori inom Naturvetenskap och teknik

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.

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: "This expanded and corrected second edition of this useful and interesting book has a new chapter on the topic of equidistribution. ... this monograph gives important results and techniques for specific topics, together with many exercises. ... I do enjoy this book ... and I imagine when I take the graduate course in the subject that it will be of a greater benefit, which is why I offered such a high rating." (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, July, 2013) "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)