Problems in Analytic Number Theory
Murty, U.S.R.
Problems in Analytic Number Theory [electronic resource] / by U.S.R. Murty. - 1st ed. 2001. - XVI, 456 p. online resource. - Readings in Mathematics ; 206 . - Readings in Mathematics ; 206 .
I Problems -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- II Solutions -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- References.
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.
9781475734416
10.1007/978-1-4757-3441-6 doi
Number theory.
Number Theory.
QA241-247.5
512.7
Problems in Analytic Number Theory [electronic resource] / by U.S.R. Murty. - 1st ed. 2001. - XVI, 456 p. online resource. - Readings in Mathematics ; 206 . - Readings in Mathematics ; 206 .
I Problems -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- II Solutions -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- References.
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.
9781475734416
10.1007/978-1-4757-3441-6 doi
Number theory.
Number Theory.
QA241-247.5
512.7