Smooth Numbers: Computational Number Theory and Beyond
by Andrew Granville
Publisher: Universite de Montreal 2008
Number of pages: 58
Description:
The analysis of many number theoretic algorithms turns on the role played by integers which have only small prime factors; such integers are known as 'smooth numbers'. To be able to determine which algorithm is faster than which, it has turned out to be important to have accurate estimates for the number of smooth numbers in various sequences.
Download or read it online for free here:
Download link
(390KB, PDF)
Similar books
Modular Forms: A Computational Approachby William A. Stein - American Mathematical Society
This book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments.
(11344 views)
Surfing on the ocean of numbersby Henry Ibstedt - Erhus University Press
The author uses computers to explore the solutions to some problems in number theory. The emphasis is on the statement of a problem and the examination of the solutions for numbers in a selected range. Many of the problems are very hard.
(14130 views)
Computer analysis of number sequencesby Henry Ibstedt - American Research Press
This is a book on empirical number theory concentrating on the analysis of number sequences. Its focus is on a small part of integer sequences defined by Florentin Smarandache. The author has also included some other results of his research.
(14948 views)
A Computational Introduction to Number Theory and Algebraby Victor Shoup - Cambridge University Press
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes. It is accessible to a broad audience. Prerequisites are a typical undergraduate course in calculus and some experience in doing proofs.
(44259 views)