Problems in analytic 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...
| Main Author: | Murty, Maruti Ram. |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
©2008.
New York : [2008] |
| Physical Description: |
1 online resource (xxi, 502 pages). |
| Edition: | 2nd ed. |
| Series: |
Graduate texts in mathematics ;
206. Graduate texts in mathematics. Readings in mathematics. |
| Subjects: |
Table of Contents:
- Problems: Arithmetic functions ; Primes in arithmetic functions ; 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.