Problems in Analytic Number Theory

• Κύριος συγγραφέας: Murty, M. Ram (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2008.
• Έκδοση: 2.
• Σειρά: Graduate Texts in Mathematics, 206
• Θέματα: Mathematics.; Number theory.; Combinatorics.; Number Theory.

 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. 

 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.