Computer analysis of number sequences
by Henry Ibstedt
Publisher: American Research Press 1998
Number of pages: 86
This is a book on empirical number theory concentrating on the analysis of number sequences. Its focus is on a small part of a very large number of integer sequences defined by Florentin Smarandache. The author has also included some other of his research results which organically belong to this area.
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by Andrew Granville - Universite de Montreal
The analysis of many number theoretic algorithms turns on the role played by integers which have only small prime factors -- 'smooth numbers'. It is important to have accurate estimates for the number of smooth numbers in various sequences.
by 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.
by 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.
by J.P. Buhler, P. Stevenhagen - Cambridge University Press
This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students. It covers the fundamental algorithms of elementary number theory, lattice basis reduction, elliptic curves, algebraic number fields, etc.