TY  - BOOK
AU  - Tenenbaum, Gerald
AU  - France, Michel Mendes
TI  - The Prime numbers and their Distribution
T2  - Student Mathematical Library
SN  - 9781470419172 (PB)
PY  - 2000///
CY  - Providence
PB  - American mathematical society
KW  - Number Theory
KW  - Prime Numbers
N2  - We have been curious about numbers—and prime numbers—since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness.

There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers.

The book begins with a chapter covering some classic topics, such as quadratic residues and the Sieve of Eratosthenes. Also discussed are other sieves, primes in cryptography, twin primes, and more
ER  -