Buhler, J. P. (ed.); Stevenhagen, P. (ed.) 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] Cited in 1 ReviewCited in 12 Documents 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 PDFBibTeX XMLCite \textit{J. P. Buhler} (ed.) and \textit{P. Stevenhagen} (ed.), Algorithmic number theory. Lattices, number fields, curves and cryptography. Cambridge: Cambridge University Press (2008; Zbl 1154.11002) Full Text: Link