Algorithmic Number Theory : Second International Symposium, ANTS-II, Talence, France, May 18 - 23, 1996, Proceedings. 1st ed. 1996

種類:

電子ブック

責任表示:

edited by Henri Cohen

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996

著者名:

• Cohen, Henri.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Computer Science ; 1122

ISBN:

9783540706328 [3540706321]    

注記:

Counting rational points on curves and abelian varieties over finite fields -- Computing cubic fields in quasi-linear time -- Fast ideal arithmetic via lazy localization -- A comparative study of algorithms for computing continued fractions of algebraic numbers -- Computing ray class groups, conductors and discriminants -- Computing l-isogenies using the p-torsion -- On computing Hilbert class fields of prime degree -- On the reduction of composed relations from the number field sieve -- Checking the $$¥mathfrak{p}$$ -adic stark conjecture when $$¥mathfrak{p}$$ is archimedean -- A multiple polynomial general number field sieve -- Construction of high-rank elliptic curves over ? and ?(t) with non-trivial 2-torsion -- The height on an abelian variety -- On lattices over number fields -- Minimum discriminants of primitive sextic fields -- A new algorithm and refined bounds for extended gcd computation -- Application of thue equations to computing power integral bases in algebraic number fields -- Computing S-int
This book constitutes the refereed post-conference proceedings of the Second International Algorithmic Number Theory Symposium, ANTS-II, held in Talence, France in May 1996. The 35 revised full papers included in the book were selected from a variety of submissions. They cover a broad spectrum of topics and report state-of-the-art research results in computational number theory and complexity theory. Among the issues addressed are number fields computation, Abelian varieties, factoring algorithms, finite fields, elliptic curves, algorithm complexity, lattice theory, and coding.

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