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Algorithmic Number Theory : 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings / edited by Florian Hess, Sebastian Pauli, Michael Pohst
(Lecture Notes in Computer Science. ISSN:16113349 ; 4076)

データ種別 電子ブック
1st ed. 2006.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 2006
大きさ XII, 599 p : online resource
著者標目 Hess, Florian editor
Pauli, Sebastian editor
Pohst, Michael editor
SpringerLink (Online service)

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URL
射水-電子 007 EB0003548 Computer Scinece R0 2005-6,2022-3

9783540360766

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一般注記 Invited Talks -- Computing Pro-P Galois Groups -- The Elliptic Curve Database for Conductors to 130000 -- On the Computation of the Coefficients of a Modular Form -- Cohen–Lenstra Heuristics of Quadratic Number Fields -- Algebraic Number Theory -- An Algorithm for Computing p-Class Groups of Abelian Number Fields -- Computation of Locally Free Class Groups -- Numerical Results on Class Groups of Imaginary Quadratic Fields -- Cyclic Polynomials Arising from Kummer Theory of Norm Algebraic Tori -- The Totally Real Primitive Number Fields of Discriminant at Most 109 -- A Modular Method for Computing the Splitting Field of a Polynomial -- Analytic and Elementary Number Theory -- On the Density of Sums of Three Cubes -- The Mertens Conjecture Revisited -- Fast Bounds on the Distribution of Smooth Numbers -- Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables -- The Pseudosquares Prime Sieve -- Doubly-Focused Enumeration of Pseudosquares and Pseudocubes -- Lattices -- Practical Lattice Basis Sampling Reduction -- LLL on the Average -- On the Randomness of Bits Generated by Sufficiently Smooth Functions -- Curves and Varieties over Fields of Characteristic Zero -- Computing a Lower Bound for the Canonical Height on Elliptic Curves over ? -- Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over  with Small d -- Shimura Curves for Level-3 Subgroups of the (2,3,7) Triangle Group, and Some Other Examples -- The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds -- Testing Equivalence of Ternary Cubics -- Classification of Genus 3 Curves in Special Strata of the Moduli Space -- Heegner Point Computations Via Numerical p-Adic Integration -- Symmetric Powers of Elliptic Curve L-Functions -- Determined Sequences, Continued Fractions, and Hyperelliptic Curves -- Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups -- Arithmetic of Generalized Jacobians -- Hidden Pairings and Trapdoor DDH Groups -- Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10 -- Fast Bilinear Maps from the Tate-Lichtenbaum Pairing on Hyperelliptic Curves -- High Security Pairing-Based Cryptography Revisited -- Efficiently Computable Endomorphisms for Hyperelliptic Curves -- Construction of Rational Points on Elliptic Curves over Finite Fields -- 20 Years of ECM -- Discrete Logarithms -- An Index Calculus Algorithm for Plane Curves of Small Degree -- Signature Calculus and Discrete Logarithm Problems -- Spectral Analysis of Pollard Rho Collisions -- Hard Instances of the Constrained Discrete Logarithm Problem
HTTP:URL=https://doi.org/10.1007/11792086
件 名 LCSH:Number theory
LCSH:Algorithms
LCSH:Computer science -- Mathematics  全ての件名で検索
LCSH:Discrete mathematics
LCSH:Cryptography
LCSH:Data encryption (Computer science)
FREE:Number Theory
FREE:Algorithms
FREE:Discrete Mathematics in Computer Science
FREE:Cryptology
FREE:Symbolic and Algebraic Manipulation
分 類 LCC:QA241-247.5
DC23:512.7
書誌ID EB00002936
ISBN 9783540360766

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