563 pages - 62 MB

Introductory course in computational number theory. ... techniques of algorithmic number theory (and for algebraic number theory.

215 pages - 1 MB

By w stein · 2012 · cited by 30 — algebraic number theory involves using techniques from (mostly commutative) algebra and finite group theory to gain a deeper understanding ...

Standard problems of algebraic number theory. let k be a number field. 1. arithmetic: fast arithmetic, polynomial factorization, and.

166 pages - 1 MB

Algebraic number theory studies the arithmetic of algebraic number fields — the ring of integers in the number field, the ideals and units in ...

45 pages - 443 KB

We describe practical algorithms from computational algebraic number theory, with applications to class field theory. these include basic arithmetic, ...

7 pages - 992 KB

A course in computational algebraic number theory, by henri cohen. springer-. verlag, new york, 1993, xxi+534 pp., $49.00. isbn 3-540-55640-0. computational ...

By hw lenstra · 1992 · cited by 228 — the present paper addresses itself not to the researcher who is looking for a collection of well-tested computational methods for use on his recently acquired.

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Examples and computational methods ... algebraic number theory course taught by paul vojta at uc berkeley in fall 1994.

Computational algebraic number theory tackles lattice-based cryptography. daniel j. bernstein. university of illinois at chicago &.