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Algorithmic number theory. Lattices, number fields, curves and cryptography. (English) Zbl 1154.11002

Mathematical Sciences Research Institute Publications 44. Cambridge: Cambridge University Press (ISBN 978-0-521-80854-5/hbk). x, 652 p. (2008).

Show indexed articles as search result.

The articles of this volume will be reviewed individually.
Indexed articles:
Lenstra, Hendrik W. jun., Solving the Pell equation, 1-23 [Zbl 1178.11077]
Buhler, Joe; Wagon, Stan, Basic algorithms in number theory, 25-68 [Zbl 1196.11170]
Pomerance, Carl, Smooth numbers and the quadratic sieve, 69-81 [Zbl 1188.11065]
Stevenhagen, Peter, The number field sieve, 83-100 [Zbl 1188.11066]
Schoof, René, Four primality testing algorithms, 101-126 [Zbl 1196.11169]
Lenstra, Hendrik W. jun., Lattices, 127-181 [Zbl 1200.11046]
Poonen, Bjorn, Elliptic curves, 183-207 [Zbl 1214.11073]
Stevenhagen, Peter, The arithmetic of number rings, 209-266 [Zbl 1216.11099]
Granville, Andrew, Smooth numbers: computational number theory and beyond, 267-323 [Zbl 1230.11157]
Bernstein, Daniel J., Fast multiplication and it applications, 325-384 [Zbl 1208.68239]
Pomerance, Carl, Elementary thoughts on discrete logarithms, 385-396 [Zbl 1188.11070]
Schirokauer, Oliver, The impact of the number field sieve on the discrete logarithm problem in finite fields, 397-420 [Zbl 1188.11071]
Bernstein, Daniel J., Reducing lattice bases to find small-height values of univariate polynomials, 421-446 [Zbl 1188.11068]
Schoof, René, Computing Arakelov class groups, 447-495 [Zbl 1188.11076]
Cohen, Henri; Stevenhagen, Peter, Computational class field theory, 497-534 [Zbl 1177.11095]
Bernstein, Daniel J., Protecting communications against forgery, 535-549 [Zbl 1157.94355]
Wan, Daqing, Algorithmic theory of zeta functions over finite fields, 551-578 [Zbl 1188.11075]
Lauder, Alan G. B.; Wan, Daqing, Counting points on varieties over finite fields of small characteristic, 579-612 [Zbl 1188.11069]
Top, Jaap; Yui, Noriko, Congruent number problems and their variants, 613-639 [Zbl 1161.11014]
Stein, William A., An introduction to computing modular forms using modular symbols, 641-652 [Zbl 1188.11074]

MSC:

11-06 Proceedings, conferences, collections, etc. pertaining to number theory
14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry
00B15 Collections of articles of miscellaneous specific interest
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