Algorithmic Number Theory (Record no. 36717)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04824nam a22005775i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783540706328 |
| -- | 978-3-540-70632-8 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 005.1 |
| 245 10 - TITLE STATEMENT | |
| Title | Algorithmic Number Theory |
| Sub Title | Second International Symposium, ANTS-II Talence, France, May 18–23, 1996 Proceedings / |
| Statement of responsibility, etc | edited by Henri Cohen. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Berlin, Heidelberg : |
| Name of publisher | Springer Berlin Heidelberg, |
| Year of publication | 1996. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | X, 414 p. |
| Other physical details | online resource. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Computer Science, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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-integral points on elliptic curves -- Probabilistic computation of the Smith normal form of a sparse integer matrix -- Ray class field constructions of curves over finite fields with many rational points -- Computing isogenies in $$\mathbb{F}_{2^n } $$ -- A computational technique for determining relative class numbers of CM-fields -- Old and new deterministic factoring algorithms -- Efficient algorithms for computing the Jacobi symbol -- The number field database on the World Wide web server http://hasse.mathematik.tu-muenchen.de/ -- An algorithm of subexponential type computing the class group of quadratic orders over principal ideal domains -- Computational aspects of Kummer theory -- On integral basis reduction in global function fields -- Computational aspects of curves of genus at least 2 -- The complexity of approximate optima for greatest common divisor computations -- Compact representation in real quadratic congruence function fields -- Discrete logarithms: The effectiveness of the index calculus method -- How difficult is it to solve a thue equation? -- Elliptic congruence function fields -- Algebraic geometry lattices and codes -- Computing discrete logarithms with the general number field sieve. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Computer science. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Data encryption (Computer science). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Computer software. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Computational complexity. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Geometry, algebraic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algorithms. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Number theory. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Computer Science. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algorithm Analysis and Problem Complexity. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Data Encryption. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Discrete Mathematics in Computer Science. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Number Theory. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algorithms. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebraic Geometry. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Cohen, Henri. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/3-540-61581-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 1996. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0302-9743 ; |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK7423 | http://dx.doi.org/10.1007/3-540-61581-4 | E-BOOKS |