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1st ANTS 1994: Ithaca, NY, USA
- Leonard M. Adleman, Ming-Deh A. Huang:
Algorithmic Number Theory, First International Symposium, ANTS-I, Ithaca, NY, USA, May 6-9, 1994, Proceedings. Lecture Notes in Computer Science 877, Springer 1994, ISBN 3-540-58691-1 - W. R. Alford, Andrew Granville, Carl Pomerance:
On the difficulty of finding reliable witnesses. 1-16 - Wieb Bosma, Peter Stevenhagen:
Density computations for real quadratic 2-class groups. 17 - Roger A. Golliver, Arjen K. Lenstra, Kevin S. McCurley:
Lattice sieving and trial division. 18-27 - Leonard M. Adleman, Jonathan DeMarrais, Ming-Deh A. Huang:
A subexponential algorithm for discrete logarithms over the rational subgroup of the jacobians of large genus hyperelliptic curves over finite fields. 28-40 - Bruce Dodson, Matthew Haines:
Computing rates of growth of division fields on CM abelian varieties. 41 - Sachar Paulus:
Algorithms for CM-fields. 42 - Jean Marc Couveignes, François Morain:
Schoof's algorithm and isogeny cycles. 43-58 - Nelson Stephens:
Integer points on rational elliptic curves. 59 - Frank Lehmann, Markus Maurer, Volker Müller, Victor Shoup:
Counting the number of points on elliptic curves over finite fields of characteristic greater than three. 60-70 - Richard J. Lipton:
Straight-line complexity and integer factorization. 71-79 - Dexter Kozen, Susan Landau, Richard Zippel:
Decomposition of algebraic functions. 80-92 - Ronitt Rubinfeld, Richard Zippel:
A new modular interpolation algorithm for factoring multivariate polynominals. 93-107 - Leonard M. Adleman:
The function field sieve. 108-121 - Noam D. Elkies:
Heegner point computations. 122-133 - John Cremona:
Computing the degree of a modular parametrization. 134-142 - Mark McConnell:
Galois representations from the cohomology of SL(3, Z). 143 - Hervé Daudé, Philippe Flajolet, Brigitte Vallée:
An analysis of the Gaussian algorithm for lattice reduction. 144-158 - Michael Kaib:
A fast variant of the Gaussian reduction algorithm. 159 - Johannes A. Buchmann:
Reducing lattice bases by means of approximations. 160-168 - Jeffrey O. Shallit, Jonathan P. Sorenson:
Analysis of a left-shift binary GCD algorithm. 169-183 - Bohdan S. Majewski, George Havas:
The complexity of greatest common divisor computations. 184-193 - Alfred J. van der Poorten:
Explicit formulas for units in certain quadratic number fields. 194-208 - Sergei Evdokimov:
Factorization of polynominals over finite fields in subexponential time under GRH. 209-219 - Shuhong Gao, Scott A. Vanstone:
On orders of optimal normal basis generators. 220 - Emil J. Volcheck:
Computing in the jacobian of a plane algebraic curve. 221-233 - Christoph Thiel:
Under the assumption of the generalized Riemann Hyothesis verifying the class number belongs to NPcapCo-NP. 234-247 - Farshid Hajir:
Calculating the class number of certain Hilbert class fields. 248 - Leonard M. Adleman, Ming-Deh A. Huang, Kireeti Kompella:
Efficient checking of computations in number theory. 249 - Georg-Johann Lay, Horst Günter Zimmer:
Constructing elliptic curves with given group order over large finite fields. 250-263 - Marc Deléglise, Joël Rivat:
Computing pi(x), M(x) and Psi(x). 264 - Igor E. Shparlinski:
On some applications of finitely generated semi-groups. 265-279 - Paul Pritchard:
Improved incremental prime number sieves. 280-288 - Peter W. Shor:
Polynominal time algorithms for discrete logarithms and factoring on a quantum computer. 289 - Guangheng Ji, Hongwen Lu:
On dispersion and Markov constants. 290 - Leonard M. Adleman, Kevin S. McCurley:
Open problems in number theoretic complexity, II. 291-322
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