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Algorithmic number theory. 7th international symposium, ANTS-VII, Berlin, Germany, July 23–28, 2006. Proceedings. (English) Zbl 1103.11002
Lecture Notes in Computer Science 4076. Berlin: Springer (ISBN 3-540-36075-1/pbk). x, 599 p. (2006).

Show indexed articles as search result.

The articles of this volume will be reviewed individually. The preceding symposium has been reviewed (see Zbl 1052.11002).
Indexed articles:
Boston, Nigel; Nover, Harris, Computing pro-\(p\) Galois groups, 1-10 [Zbl 1143.11369]
Cremona, John, The elliptic curve database for conductors to 130000, 11-29 [Zbl 1143.11324]
Edixhoven, Bas, On the computation of the coefficients of a modular form, 30-39 [Zbl 1143.11323]
Fouvry, Étienne; Klüners, Jürgen, Cohen-Lenstra heuristics of quadratic number fields, 40-55 [Zbl 1143.11352]
Aoki, Miho; Fukuda, Takashi, An algorithm for computing \(p\)-class groups of abelian number fields, 56-71 [Zbl 1143.11368]
Bley, Werner; Boltje, Robert, Computation of locally free class groups, 72-86 [Zbl 1143.11355]
Jacobson, Michael J.; Ramachandran, Shantha; Williams, Hugh C., Numerical results on class groups of imaginary quadratic fields, 87-101 [Zbl 1143.11370]
Kida, Masanari, Cyclic polynomials arising from Kummer theory of norm algebraic tori, 102-113 [Zbl 1143.11350]
Malle, Gunter, The totally real primitive number fields of discriminant at most \(10^{9}\), 114-123 [Zbl 1143.11371]
Renault, Guénaël; Yokoyama, Kazuhiro, A modular method for computing the splitting field of a polynomial, 124-140 [Zbl 1143.11372]
Deshouillers, Jean-Marc; Hennecart, François; Landreau, Bernard, On the density of sums of three cubes, 141-155 [Zbl 1143.11347]
Kotnik, Tadej; te Riele, Herman, The Mertens conjecture revisited, 156-167 [Zbl 1143.11345]
Parsell, Scott T.; Sorenson, Jonathan P., Fast bounds on the distribution of smooth numbers, 168-181 [Zbl 1143.11366]
Ramachandran, Parthasarathy, Use of extended Euclidean algorithm in solving a system of linear Diophantine equations with bounded variables, 182-192 [Zbl 1143.11373]
Sorenson, Jonathan P., The pseudosquares prime sieve, 193-207 [Zbl 1143.11359]
Wooding, Kjell; Williams, Hugh C., Doubly-focused enumeration of pseudosquares and pseudocubes, 208-221 [Zbl 1143.11360]
Buchmann, Johannes; Ludwig, Christoph, Practical lattice basis sampling reduction, 222-237 [Zbl 1143.11336]
Nguyen, Phong Q.; Stehlé, Damien, LLL on the average, 238-256 [Zbl 1143.11357]
Stehlé, Damien, On the randomness of bits generated by sufficiently smooth functions, 257-274 [Zbl 1143.11341]
Cremona, John; Siksek, Samir, Computing a lower bound for the canonical height on elliptic curves over \(\mathbb Q\), 275-286 [Zbl 1143.11333]
Elkies, Noam D., Points of low height on elliptic curves and surfaces I: Elliptic surfaces over \({\mathbb P}\) with small \(d\), 287-301 [Zbl 1143.11334]
Elkies, Noam D., Shimura curves for level-3 subgroups of the (2,3,7) triangle group, and some other examples, 302-316 [Zbl 1143.11328]
Elsenhans, Andreas-Stephan; Jahnel, Jörg, The asymptotics of points of bounded height on diagonal cubic and quartic threefolds, 317-332 [Zbl 1143.14300]
Fisher, Tom, Testing equivalence of ternary cubics, 333-345 [Zbl 1143.11325]
Girard, Martine; Kohel, David R., Classification of genus 3 curves in special strata of the moduli space, 346-360 [Zbl 1143.14304]
Greenberg, Matthew, Heegner point computations via numerical \(p\)-adic integration, 361-376 [Zbl 1143.11329]
Martin, Phil; Watkins, Mark, Symmetric powers of elliptic curve \(L\)-functions, 377-392 [Zbl 1143.11332]
van der Poorten, Alfred J., Determined sequences, continued fractions, and hyperelliptic curves, 393-405 [Zbl 1143.11306]
Voight, John, Computing CM points on Shimura curves arising from cocompact arithmetic triangle groups, 406-420 [Zbl 1143.11330]
Déchène, Isabelle, Arithmetic of generalized Jacobians, 421-435 [Zbl 1151.14312]
Dent, Alexander W.; Galbraith, Steven D., Hidden pairings and trapdoor DDH groups, 436-451 [Zbl 1143.94344]
Freeman, David, Constructing pairing-friendly elliptic curves with embedding degree 10, 452-465 [Zbl 1143.14302]
Frey, Gerhard; Lange, Tanja, Fast bilinear maps from the Tate-Lichtenbaum pairing on hyperelliptic curves, 466-479 [Zbl 1143.94345]
Granger, R.; Page, D.; Smart, N. P., High security pairing-based cryptography revisited, 480-494 [Zbl 1143.94349]
Kohel, David R.; Smith, Benjamin A., Efficiently computable endomorphisms for hyperelliptic curves, 495-509 [Zbl 1143.14312]
Shallue, Andrew; van de Woestijne, Christiaan E., Construction of rational points on elliptic curves over finite fields, 510-524 [Zbl 1143.11331]
Zimmermann, Paul; Dodson, Bruce, 20 years of ECM, 525-542 [Zbl 1143.11358]
Diem, Claus, An index calculus algorithm for plane curves of small degree, 543-557 [Zbl 1143.11361]
Huang, Ming-Deh; Raskind, Wayne, Signature calculus and discrete logarithm problems, 558-572 [Zbl 1143.11363]
Miller, Stephen D.; Venkatesan, Ramarathnam, Spectral analysis of pollard rho collisions, 573-581 [Zbl 1143.94351]
Mironov, Ilya; Mityagin, Anton; Nissim, Kobbi, Hard instances of the constrained discrete logarithm problem, 582-598 [Zbl 1143.11365]

MSC:
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
00B25 Proceedings of conferences of miscellaneous specific interest
11Yxx Computational number theory
68W30 Symbolic computation and algebraic computation
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