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11Y: Computational number theory


Introduction

History

Applications and related fields

See also other fields of number theory (section 11). For example, computations of modular square roots are treated in the section of finite fields (11T).

Subfields

Parent field: 11: Number theory

Browse all (old) classifications for this area at the AMS.


Textbooks, reference works, and tutorials

Cohen, Henri: "A course in computational algebraic number theory", Graduate Texts in Mathematics, 138. Springer-Verlag, Berlin, 1993. 534 pp. ISBN 3-540-55640-0 is encyclopedic and readable.

Ribenboim, Paulo: "The new book of prime number records", Springer-Verlag, New York, 1996. 541 pp. ISBN 0-387-94457-5

Riesel, Hans "What's new at the prime number front?" Nordisk Mat. Tidskr. 23 (1975), no. 1, 5--14, 48. MR57#9637

See also the general references for number theory.

Software and tables

A very nice on-line factorization tool Factoris, at WIMS. (It is an online front-end to an implementation of GP/PARI.) This program can handle numbers up to about 50 digits.

Other web sites with this focus

Selected topics at this site


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Last modified 2005/01/14 by Dave Rusin. Mail: