Algorithmic Number Theory (Record no. 181515)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04986nam a22006135i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-540-79456-1 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240423125753.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2008 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783540794561 |
| -- | 978-3-540-79456-1 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-540-79456-1 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA76.9.A43 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | UMB |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | COM051300 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | UMB |
| Source | thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518.1 |
| Edition number | 23 |
| 245 10 - TITLE STATEMENT | |
| Title | Algorithmic Number Theory |
| Medium | [electronic resource] : |
| Remainder of title | 8th International Symposium, ANTS-VIII Banff, Canada, May 17-22, 2008 Proceedings / |
| Statement of responsibility, etc | edited by Alf J. van der Poorten, Andreas Stein. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2008. |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg : |
| -- | Imprint: Springer, |
| -- | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | IX, 458 p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Theoretical Computer Science and General Issues, |
| International Standard Serial Number | 2512-2029 ; |
| Volume number/sequential designation | 5011 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Invited Papers -- Running Time Predictions for Factoring Algorithms -- A New Look at an Old Equation -- Elliptic Curves Cryptology and Generalizations -- Abelian Varieties with Prescribed Embedding Degree -- Almost Prime Orders of CM Elliptic Curves Modulo p -- Efficiently Computable Distortion Maps for Supersingular Curves -- On Prime-Order Elliptic Curves with Embedding Degrees k?=?3, 4, and 6 -- Arithmetic of Elliptic Curves -- Computing in Component Groups of Elliptic Curves -- Some Improvements to 4-Descent on an Elliptic Curve -- Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields -- Faster Multiplication in GF(2)[x] -- Integer Factorization -- Predicting the Sieving Effort for the Number Field Sieve -- Improved Stage 2 to P ± 1 Factoring Algorithms -- K3 Surfaces -- Shimura Curve Computations Via K3 Surfaces of Néron–Severi Rank at Least 19 -- K3 Surfaces of Picard Rank One and Degree Two -- Number Fields -- Number Fields Ramified at One Prime -- An Explicit Construction of Initial Perfect Quadratic Forms over Some Families of Totally Real Number Fields -- Functorial Properties of Stark Units in Multiquadratic Extensions -- Enumeration of Totally Real Number Fields of Bounded Root Discriminant -- Point Counting -- Computing Hilbert Class Polynomials -- Computing Zeta Functions in Families of C a,b Curves Using Deformation -- Computing L-Series of Hyperelliptic Curves -- Point Counting on Singular Hypersurfaces -- Arithmetic of Function Fields -- Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors -- Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian -- Modular Forms -- Computing Hilbert Modular Forms over Fields with Nontrivial Class Group -- Hecke Operators and Hilbert Modular Forms.-Cryptography -- A Birthday Paradox for Markov Chains, with an Optimal Bound for Collision in the Pollard Rho Algorithm for Discrete Logarithm -- An Improved Multi-set Algorithm for the Dense Subset Sum Problem -- Number Theory -- On the Diophantine Equation x 2?+?2 ? 5 ? 13 ? ?=?y n -- Non-vanishing of Dirichlet L-functions at the Central Point. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book constitutes the refereed proceedings of the 8th International Algorithmic Number Theory Symposium, ANTS 2008, held in Banff, Canada, in May 2008. The 28 revised full papers presented together with 2 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on elliptic curves cryptology and generalizations, arithmetic of elliptic curves, integer factorization, K3 surfaces, number fields, point counting, arithmetic of function fields, modular forms, cryptography, and number theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algorithms. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer science |
| General subdivision | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Discrete mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cryptography. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Data encryption (Computer science). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Number theory. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algorithms. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Discrete Mathematics in Computer Science. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Cryptology. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Symbolic and Algebraic Manipulation. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Number Theory. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | van der Poorten, Alf J. |
| Relator term | editor. |
| Relator code | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Stein, Andreas. |
| Relator term | editor. |
| Relator code | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer Nature eBook |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783540794554 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783540849971 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Theoretical Computer Science and General Issues, |
| -- | 2512-2029 ; |
| Volume number/sequential designation | 5011 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-540-79456-1">https://doi.org/10.1007/978-3-540-79456-1</a> |
| 912 ## - | |
| -- | ZDB-2-SCS |
| 912 ## - | |
| -- | ZDB-2-SXCS |
| 912 ## - | |
| -- | ZDB-2-LNC |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks-CSE-Springer |
No items available.