Algorithmic number theory. 6th international symposium, ANTS-VI, Burlington, VT, USA, June 13--18, 2004. Proceedings.
The articles of this volume will be reviewed individually. The preceding symposium has been reviewed (see Zbl 0992.00024). Indexed articles: \textit{Kedlaya, Kiran S.}, Computing zeta functions via \(p\)-adic cohomology, 1-17 [Zbl 1125.14300] \textit{Rubin, K.; Silverberg, A.}, Using primitive subgroups to do more with fewer bits, 18-41 [Zbl 1125.94328] \textit{Elkies, Noam D.; Watkins, Mark}, Elliptic curves of large rank and small conductor, 42-56 [Zbl 1125.11327] \textit{Agarwal, Saurabh; Frandsen, Gudmund Skovbjerg}, Binary GCD like algorithms for some complex quadratic rings, 57-71 [Zbl 1148.11317] \textit{Arvind, V.; Kurur, Piyush P.}, On the complexity of computing units in a number field, 72-86 [Zbl 1148.11320] \textit{Basiri, Abdolali; Enge, Andreas; Faugère, Jean-Charles; Gürel, Nicolas}, Implementing the arithmetic of \(C_{3,4}\) curves, 87-101 [Zbl 1148.14304] \textit{Berrizbeitia, P.; Müller, S.; Williams, H. C.}, Pseudocubes and primality testing, 102-116 [Zbl 1148.11316] \textit{Bröker, Reinier; Stevenhagen, Peter}, Elliptic curves with a given number of points, 117-131 [Zbl 1207.11065] \textit{Bruin, N.; Flynn, E. V.}, Rational divisors in rational divisor classes, 132-139 [Zbl 1148.11318] \textit{Calegari, Frank; Stein, William A.}, Conjectures about discriminants of Hecke algebras of prime level, 140-152 [Zbl 1125.11320] \textit{Duquesne, Sylvain}, Montgomery scalar multiplication for genus 2 curves, 153-168 [Zbl 1125.11330] \textit{Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.}, Improved Weil and Tate pairings for elliptic and hyperelliptic curves, 169-183 [Zbl 1116.11042] \textit{Elkies, Noam D.; Rogers, Nicholas F.}, Elliptic curves \(x^3+y^3=k\) of high rank, 184-193 [Zbl 1125.11326] \textit{Franke, Jens; Kleinjung, Thorsten; Morain, François; Wirth, T.}, Proving the primality of very large numbers with fastECPP, 194-207 [Zbl 1125.11359] \textit{Gaudry, Pierrick; Schost, Éric}, A low-memory parallel version of Matsuo, Chao, and Tsujii's algorithm, 208-222 [Zbl 1125.11360] \textit{Granger, R.; Holt, A. J.; Page, D.; Smart, N. P.; Vercauteren, F.}, Function field sieve in characteristic three, 223-234 [Zbl 1125.11358] \textit{Granger, R.; Page, D.; Stam, M.}, A comparison of CEILIDH and XTR, 235-249 [Zbl 1125.94322] \textit{Guàrdia, Jordi; Torres, Eugenia; Vela, Montserrat}, Stable models of elliptic curves, ring class fields, and complex multiplication, 250-262 [Zbl 1125.11328] \textit{Hess, F.}, An algorithm for computing isomorphisms of algebraic function fields, 263-271 [Zbl 1125.11353] \textit{Howgrave-Graham, Nick; Szydlo, Mike}, A method to solve cyclotomic norm equations \(f \ast \bar f\), 272-279 [Zbl 1125.11348] \textit{Jacobson, M. J. jun.; Williams, H. C.; Wooding, K.}, Imaginary cyclic quartic fields with large minus class numbers, 280-292 [Zbl 1125.11350] \textit{Jones, John W.; Roberts, David P.}, Nonic 3-adic fields, 293-308 [Zbl 1125.11356] \textit{Lange, Tanja}, Montgomery addition for genus two curves, 309-317 [Zbl 1125.11332] \textit{Louboutin, Stéphane R.}, Numerical evaluation at negative integers of the Dedekind zeta functions of totally real cubic number fields, 318-326 [Zbl 1125.11352] \textit{McKee, James; Smyth, Chris}, Salem numbers of trace \(-2\) and traces of totally positive algebraic integers, 327-337 [Zbl 1125.11347] \textit{Nguyen, Phong Q.; Stehlé, Damien}, Low-dimensional lattice basis reduction revisited, 338-357 [Zbl 1125.11361] \textit{Patrascu, Corina E.; Patrascu, Mihai}, Computing order statistics in the Farey sequence, 358-366 [Zbl 1125.11304] \textit{Pauli, Sebastian; Soriano-Gafiuk, Florence}, The discrete logarithm in logarithmic \(\ell\)-class groups and its applications in \(K\)-theory, 367-378 [Zbl 1125.11354] \textit{Ritzenthaler, Christophe}, Point counting on genus 3 non hyperelliptic curves, 379-394 [Zbl 1125.11331] \textit{Scheidler, R.}, Algorithmic aspects of cubic function fields, 395-410 [Zbl 1125.11363] \textit{Stehlé, Damien; Zimmermann, Paul}, A binary recursive gcd algorithm, 411-425 [Zbl 1125.11362] \textit{Tangedal, Brett A.}, Lagrange resolvents constructed from Stark units, 426-441 [Zbl 1125.11349] \textit{Yun, Aaram; Kim, Jaeheon; Lee, Dong Hoon}, Cryptanalysis of a divisor class group based public-key cryptosystem, 442-450 [Zbl 1125.94334]
scientific article; zbMATH DE number 2123730