New PDF release: Algorithmic Number Theory: 4th International Symposium,

By Jin-Yi Cai (auth.), Wieb Bosma (eds.)

This publication constitutes the refereed lawsuits of the 4th foreign Algorithmic quantity thought Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000.
The booklet offers 36 contributed papers that have undergone a radical around of reviewing, choice and revision. additionally incorporated are four invited survey papers. one of the subject matters addressed are gcd algorithms, primality, factoring, sieve equipment, cryptography, linear algebra, lattices, algebraic quantity fields, type teams and fields, elliptic curves, polynomials, functionality fields, and gear sums.

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Additional info for Algorithmic Number Theory: 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings

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C. Lagarias and A. M. Odlyzko. Solving low-density subset sum problems. In Proc. 24th IEEE Symposium on Foundations of Computer Science, 1983, 1 – 10. 50. A. K. Lenstra, H. W. Lenstra, and L. Lov´asz. Factoring polynomials with rational coefficients. Mathematische Annalen, 261:515–534, 1982. 51. H. W. Lenstra, Jr. Integer programming with a fixed number of variables. Mathematics of Operations Research, 8:538–548, 1983. 52. L. Lov´ asz. An Algorithmic Theory of Numbers, Graphs and Convexity. SIAM, Philadelphia, 1986.

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A New Transference Theorem in the Geometry of Numbers. The 5th International Computing and Combinatorics Conference, 113–122, (COCOON) 1999, Tokyo, Japan. Lecture Notes in Computer Science, 1627. 15. J-Y. Cai. Applications of a New Transference Theorem to Ajtai’s Connection Factor. In the Proceedings of the 14th Annual IEEE Conference on Computational Complexity, pp 205–214, 1999. 16. J-Y. Cai. A Relation of Primal-Dual Lattices and the Complexity of Shortest Lattice Vector Problem. Theoretical Computer Science 207:105–116, 1998.

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