1. ANTS 1994:
Ithaca, NY, USA
Leonard M. Adleman, Ming-Deh A. Huang (Eds.):
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 Buchmann:
Reducing lattice bases by means of approximations.
160-168

- Jeffrey 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 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 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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