Title:
Introduction to analytic number theory
Personal Author:
Publication Information:
New York : Springer-Verlag, 1976
ISBN:
9780387901633
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000001682396 | QA241 A6 1976 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."---MATHEMATICAL REVIEWS
Table of Contents
| 1 The Fundamental Theorem of Arithmetic |
| 2 Arithmetical Functions and Dirichlet Multiplication |
| 3 Averages of Arithmetical Function |
| 4 Some Elementary Theorems on the Distribution of Prime Numbers |
| 5 Congruences |
| 6 Finite Abelian Groups and Their Characters |
| 7 Cirichlet's Theorem on Primes in Arithmetic Progressions |
| 8 Periodic Arithmetical Functions and Gauss Sums |
| 9 Quadratic Residues and the Quadratic Reciprocity Law |
| 10 Primitive Roots |
| 11 Dirichlet Series and Euler Products |
| 12 The Functions |
| 13 Analytic Proof of the Prime Number Theorem |
| 14 Partitions |
