Algorithmic Number Theory (Record no. 188383)

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001 - CONTROL NUMBER
control field 978-3-540-45455-7
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control field DE-He213
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control field 20240423132508.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540454557
-- 978-3-540-45455-7
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/3-540-45455-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA241-247.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBH
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT022000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBH
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.7
Edition number 23
245 10 - TITLE STATEMENT
Title Algorithmic Number Theory
Medium [electronic resource] :
Remainder of title 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002. Proceedings /
Statement of responsibility, etc edited by Claus Fieker, David R. Kohel.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2002.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 2002.
300 ## - PHYSICAL DESCRIPTION
Extent X, 522 p.
Other physical details online resource.
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-- computer
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-- online resource
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Computer Science,
International Standard Serial Number 1611-3349 ;
Volume number/sequential designation 2369
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Invited Talks -- Gauss Composition and Generalizations -- Elliptic Curves — The Crossroads of Theory and Computation -- The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems -- Using Elliptic Curves of Rank One towards the Undecidability of Hilbert’s Tenth Problem over Rings of Algebraic Integers -- On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields -- Number Theory -- On Arithmetically Equivalent Number Fields of Small Degree -- A Survey of Discriminant Counting -- A Higher-Rank Mersenne Problem -- An Application of Siegel Modular Functions to Kronecker’s Limit Formula -- Computational Aspects of NUCOMP -- Efficient Computation of Class Numbers of Real Abelian Number Fields -- An Accelerated Buchmann Algorithm for Regulator Computation in Real Quadratic Fields -- Arithmetic Geometry -- Some Genus 3 Curves with Many Points -- Trinomials ax 7 + bx + c and ax 8 + bx + c with Galois Groups of Order 168 and 8 · 168 -- Computations on Modular Jacobian Surfaces -- Integral Points on Punctured Abelian Surfaces -- Genus 2 Curves with (3, 3)-Split Jacobian and Large Automorphism Group -- Transportable Modular Symbols and the Intersection Pairing -- Elliptic Curves and CM -- Action of Modular Correspondences around CM Points -- Curves Dy 2 = x 3 — x of Odd Analytic Rank -- Comparing Invariants for Class Fields of Imaginary Quadratic Fields -- A Database of Elliptic Curves — First Report -- Point Counting -- Isogeny Volcanoes and the SEA Algorithm -- Fast Elliptic Curve Point Counting Using Gaussian Normal Basis -- An Extension of Kedlaya’s Algorithm to Artin-Schreier Curves in Characteristic 2 -- Cryptography -- Implementing the Tate Pairing -- Smooth Orders and Cryptographic Applications -- Chinese Remaindering for Algebraic Numbers in a Hidden Field.-Function Fields -- An Algorithm for Computing Weierstrass Points -- New Optimal Tame Towers of Function Fields over Small Finite Fields -- Periodic Continued Fractions in Elliptic Function Fields -- Discrete Logarithms and Factoring -- Fixed Points and Two-Cycles of the Discrete Logarithm -- Random Cayley Digraphs and the Discrete Logarithm -- The Function Field Sieve Is Quite Special -- MPQS with Three Large Primes -- An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite Fields -- Factoring N = pq 2 with the Elliptic Curve Method -- Gröbner Bases -- A New Scheme for Computing with Algebraically Closed Fields -- Complexity -- Additive Complexity and Roots of Polynomials over Number Fields and -adic Fields.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element 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 Numerical analysis.
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 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Number Theory.
650 24 - 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 Numerical Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Cryptology.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Fieker, Claus.
Relator term editor.
Relator code edt
-- http://id.loc.gov/vocabulary/relators/edt
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kohel, David R.
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 9783540438632
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783662210642
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Computer Science,
-- 1611-3349 ;
Volume number/sequential designation 2369
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/3-540-45455-1">https://doi.org/10.1007/3-540-45455-1</a>
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks-CSE-Springer

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