Algorithmic number theory. Second international symposium, ANTS-II, Talence, France, May 18-23, 1996. Proceedings
The articles of this volume will be reviewed individually. The 1st conference (1994) has been reviewed (see Zbl 0802.00018). Indexed articles: \textit{Adleman, Leonard M.; Huang, Ming-Deh A.}, Counting rational points on curves and abelian varieties over finite fields, 1-16 [Zbl 0898.11045] \textit{Belabas, K.}, Computing cubic fields in quasi-linear time, 17-25 [Zbl 0903.11031] \textit{Bernstein, Daniel J.}, Fast ideal arithmetic via lazy localization, 27-34 [Zbl 0903.11032] \textit{Brent, Richard P.; te Riele, Herman J. J.; van der Poorten, Alfred J.}, A comparative study of algorithms for computing continued fractions of algebraic numbers, 35-47 [Zbl 0899.11065] \textit{Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel}, Computing ray class groups, conductors and discriminants, 49-57 [Zbl 0898.11046] \textit{Couveignes, Jean-Marc}, Computing \(l\)-isogenies using the \(p\)-torsion, 59-65 [Zbl 0903.11030] \textit{Daberkow, M.; Pohst, M. E.}, On computing Hilbert class fields of prime degree, 67-74 [Zbl 0899.11062] \textit{Denny, Thomas F.; Müller, Volker}, On the reduction of composed relations from the number field sieve, 75-90 [Zbl 0943.11056] \textit{Dummit, David S.; Hayes, David R.}, Checking the \({\mathfrak p}\)-adic Stark conjecture when \({\mathfrak p}\) is archimedean, 91-97 [Zbl 0906.11058] \textit{Elkenbracht-Huizing, Marije}, A multiple polynomial general number field sieve, 99-114 [Zbl 0899.11060] \textit{Fermigier, Stéfane}, Construction of high-rank elliptic curves over \(\mathbb Q\) and \(\mathbb Q(t)\) with non-trivial 2-torsion. (Extended abstract), 115-120 [Zbl 0890.11020] \textit{Fhlathúin, Bríd ní}, The height on an abelian variety, 121-131 [Zbl 0919.11047] \textit{Fieker, C.; Pohst, M. E.}, On lattices over number fields, 133-139 [Zbl 0930.11090] \textit{Ford, David}, Minimum discriminants of primitive sextic fields, 141-143 [Zbl 0924.11100] \textit{Ford, David; Havas, George}, A new algorithm and refined bounds for extended gcd computation, 145-150 [Zbl 0924.11099] \textit{Gaál, István}, Application of Thue equations to computing power integral bases in algebraic number fields, 151-155 [Zbl 0891.11062] \textit{Gebel, Josef; Pethő, Attila; Zimmer, Horst G.}, Computing \(S\)-integral points on elliptic curves, 157-171 [Zbl 0899.11012] \textit{Giesbrecht, Mark}, Probabilistic computation of the Smith normal form of a sparse integer matrix, 173-186 [Zbl 0886.65045] \textit{Lauter, Kristin}, Ray class field constructions of curves over finite fields with many rational points, 187-195 [Zbl 0935.11022] \textit{Lercier, Reynald}, Computing isogenies in \(\mathbb{F}_{2^n}\), 197-212 [Zbl 0911.11029] \textit{Louboutin, Stéphane}, A computational technique for determining relative class numbers of CM-fields, 213-216 [Zbl 0897.11037] \textit{McKee, James; Pinch, Richard}, Old and new deterministic factoring algorithms, 217-224 [Zbl 0957.11054] \textit{Meyer, Shawna M.; Sorenson, Jonathan P.}, Efficient algorithms for computing the Jacobi symbol. (Extended abstract), 225-239 [Zbl 0891.11063] \textit{Niklasch, Gerhard}, The number field database on the World Wide Web server {http://hasse. mathematik. tu-muenchen. de/}, 241-242 [Zbl 1006.11505] \textit{Paulus, Sachar}, An algorithm of subexponential type computing the class group of quadratic orders over principal ideal domains, 243-257 [Zbl 0917.11063] \textit{Pohst, M. E.}, Computational aspects of Kummer theory, 259-272 [Zbl 0894.11051] \textit{Pohst, M. E.; Schörnig, M.}, On integral basis reduction in global function fields, 273-282 [Zbl 0898.11048] \textit{Poonen, Bjorn}, Computational aspects of curves of genus at least 2, 283-306 [Zbl 0891.11037] \textit{Rössner, Carsten; Seifert, Jean-Pierre}, The complexity of approximate optima for greatest common divisor computations, 307-322 [Zbl 1021.68107] \textit{Scheidler, R.}, Compact representation in real quadratic congruence function fields, 323-336 [Zbl 0935.11049] \textit{Schirokauer, Oliver; Weber, Damian; Denny, Thomas}, Discrete logarithms: The effectiveness of the index calculus method, 337-361 [Zbl 0895.11054] \textit{Smart, N. P.}, How difficult is it to solve a Thue equation?, 363-373 [Zbl 0896.11009] \textit{Stein, Andreas}, Elliptic congruence function fields, 375-384 [Zbl 0899.11055] \textit{Tsfasman, Michael A.}, Algebraic geometry lattices and codes, 385-389 [Zbl 0939.11024] \textit{Weber, Damian}, Computing discrete logarithms with the general number field sieve, 391-403 [Zbl 0899.11061]
scientific article; zbMATH DE number 918669