@incollection{Cai/00, AUTHOR = {Cai, Jin-Yi}, TITLE = {The complexity of some lattice problems}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {1-32}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_1}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Elkies/00, AUTHOR = {Elkies, Noam D.}, TITLE = {Rational points near curves and small nonzero $\mid x^3 - y^2\mid$ via lattice reduction}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {33-63}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_2}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Flynn/00, AUTHOR = {Flynn, E. Victor}, TITLE = {Coverings of curves of genus 2}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {65-84}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_3}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Nguyen-Stern/00, AUTHOR = {Nguyen, Phong Q. and Stern, Jacques}, TITLE = {Lattice reduction in cryptology: An update}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {85-112}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_4}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Arita/00, AUTHOR = {Arita, Seigo}, TITLE = {Construction of secure $C_{ab}$ curves using modular curves}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {113-126}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_5}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Auer/00, AUTHOR = {Auer, Roland}, TITLE = {Curves over finite fields with many rational points obtained by ray class field extensions}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {127-134}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_6}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Backes-Wetzel/00, AUTHOR = {Backes, Werner and Wetzel, Susanne}, TITLE = {New results on lattice basis reduction in practice}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {135-152}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_7}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Blackburn-Teske/00, AUTHOR = {Blackburn, Simon R. and Teske, Edlyn}, TITLE = {Baby-step giant-step algorithms for non-uniform distributions}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {153-168}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_8}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Bruin/00, AUTHOR = {Bruin, Nils}, TITLE = {On powers as sums of two cubes}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {169-184}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_9}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cantor-Gordon/00, AUTHOR = {Cantor, David G. and Gordon, Daniel M.}, TITLE = {Factoring polynomials over $p$-adic fields}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {185-208}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_10}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cavallar/00, AUTHOR = {Cavallar, Stefania}, TITLE = {Strategies in filtering in the Number Field Sieve}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {209-231}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_11}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cheng-Huang/00, AUTHOR = {Cheng, Qi and Huang, Ming-Deh A.}, TITLE = {Factoring polynomials over finite fields and stable colorings of tournaments}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {233-245}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_12}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Chinta-Gunnells-Sczech/00, AUTHOR = {Chinta, Gautam and Gunnells, Paul E. and Sczech, Robert}, TITLE = {Computing special values of partial zeta functions}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {247-256}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_13}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cohen-Diaz_y_Diaz-Olivier/00, AUTHOR = {Cohen, Henri and Diaz y Diaz, Francisco and Olivier, Michel}, TITLE = {Construction of tables of quartic number fields}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {257-268}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_14}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cohen-Diaz_y_Diaz-Olivier/00a, AUTHOR = {Cohen, Henri and Diaz y Diaz, Francisco and Olivier, Michel}, TITLE = {Counting discriminants of number fields of degree up to four}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {269-283}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_15}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Fieker-Friedrichs/00, AUTHOR = {Fieker, Claus and Friedrichs, Carsten}, TITLE = {On reconstruction of algebraic numbers}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {285-296}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_16}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Galway/00, AUTHOR = {Galway, William F.}, TITLE = {Dissecting a sieve to cut its need for space}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {297-312}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_17}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Gaudry-Harley/00, AUTHOR = {Gaudry, Pierrick and Harley, Robert}, TITLE = {Counting points on hyperelliptic curves over finite fields}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {313-332}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_18}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{van_Geemen-Top/00, AUTHOR = {van Geemen, Bert and Top, Jaap}, TITLE = {Modular forms for GL(3) and Galois representations}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {333-346}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_19}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Gunnells/00, AUTHOR = {Gunnells, Paul E.}, TITLE = {Modular symbols and Hecke operators}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {347-357}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_20}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Harasawa-Suzuki/00, AUTHOR = {Harasawa, Ryuichi and Suzuki, Joe}, TITLE = {Fast Jacobian group arithmetic on $C_{ab}$ curves}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {359-376}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_21}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Huang-Kueh-Tan/00, AUTHOR = {Huang, Ming-Deh A. and Kueh, Ka Lam and Tan, Ki-Seng}, TITLE = {Lifting elliptic curves and solving the elliptic curve discrete logarithm problem}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {377-384}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_22}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Joux/00, AUTHOR = {Joux, Antoine}, TITLE = {A one round protocol for tripartite Diffie-Hellman}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {385-393}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_23}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Kohel-Shparlinski/00, AUTHOR = {Kohel, David R. and Shparlinski, Igor E.}, TITLE = {On exponential sums and group generators for elliptic curves over finite fields}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {395-404}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_24}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Kohel-Stein/00, AUTHOR = {Kohel, David R. and Stein, William A.}, TITLE = {Component groups of quotients of $J_0(N)$}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {405-412}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_25}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Louboutin/00, AUTHOR = {Louboutin, St{\'e}phane}, TITLE = {Fast computation of relative class numbers of CM-fields}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {413-422}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_26}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Muller/00b, AUTHOR = {M{\"u}ller, Siguna}, TITLE = {On probable prime testing and the computation of square roots mod $n$}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {423-437}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_27}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Nagao/00, AUTHOR = {Nagao, Koh-ichi}, TITLE = {Improving group law algorithms for Jacobians of hyperelliptic curves}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {439-447}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_28}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Omar/00, AUTHOR = {Omar, Sami}, TITLE = {Central values of Artin $L$-functions for quaternion fields}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {449-458}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_29}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Pinch/00, AUTHOR = {Pinch, Richard G.E.}, TITLE = {The pseudoprimes up to 10$^{13}$}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {459-473}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_30}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Richstein/00, AUTHOR = {Richstein, J{\"o}rg}, TITLE = {Computing the number of Goldbach partitions up to $5 \cdot 10^8$}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {474-490}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_31}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Roblot-Tangedal/00, AUTHOR = {Roblot, Xavier-Fran{\c{c}}ois and Tangedal, Brett A.}, TITLE = {Numerical verification of the Brumer-Stark conjecture}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {491-503}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_32}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Rodriguez-Villegas/00, AUTHOR = {Rodriguez-Villegas, Fernando}, TITLE = {Explicit models of genus 2 curves with split CM}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {505-513}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_33}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Scheidler/00a, AUTHOR = {Scheidler, Renate}, TITLE = {Reduction in purely cubic function fields of unit rank one}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {515-532}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_34}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Smith/00a, AUTHOR = {Smith, Derek A.}, TITLE = {Factorization in the composition algebras}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {533-537}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_35}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Sorenson/00, AUTHOR = {Sorenson, Jonathan P.}, TITLE = {A fast algorithm for approximately counting smooth numbers}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {539-549}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_36}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Stroeker-Tzanakis/00, AUTHOR = {Stroeker, Roel J. and Tzanakis, Nikolaos}, TITLE = {Computing all integer solutions of a general elliptic equation}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {551-561}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_37}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Teske-Williams/00, AUTHOR = {Teske, Edlyn and Williams, Hugh C.}, TITLE = {A note on Shanks's chains of primes}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {563-580}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_38}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Vollmer/00, AUTHOR = {Vollmer, Ulrich}, TITLE = {Asymptotically fast discrete logarithms in quadratic number fields}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {581-594}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_39}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Weilert/00a, AUTHOR = {Weilert, Andr{\'e}}, TITLE = {Asymptotically fast GCD computation in $\mathbb{Z}[i]$}, BOOKTITLE = {Proceedings of the 4th International Symposium on Algorithmic Number Theory, ANTS'2000 (Leiden, The Netherlands, July 2-7, 2000)}, SERIES = {LNCS}, VOLUME = {1838}, PAGES = {595-613}, YEAR = {2000}, EDITOR = {Bosma, Wieb}, URL = {http://dx.doi.org/10.1007/10722028_40}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, }