Problems in Analytic Number Theory

• Main Author: Murty, M. Ram (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Edition: 2.
• Series: Graduate Texts in Mathematics, 206
• Subjects: 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...

Table of Contents:

• 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.