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Algorithmic Number Theory: 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings
서명 / 저자 Algorithmic Number Theory [electronic resource] : 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings / edited by Florian Hess, Sebastian Pauli, Michael Pohst.
저자명 Hess, Florian. editor. edt http://id.loc.gov/vocabulary/relators/edt ; Pauli, Sebastian. editor. edt http://id.loc.gov/vocabulary/relators/edt ; Pohst, Michael. editor. edt http://id.loc.gov/vocabulary/relators/edt
단체명 SpringerLink (Online service)
판사항 1st ed. 2006.
발행사항 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
총서명 Lecture Notes in Computer Science, 1611-3349 ; 4076
Online Access https://doi.org/10.1007/117920... URL

서지기타정보

서지기타정보
ISBN 9783540360766
기타 표준번호 10.1007/11792086
청구기호 QA241-247.5
형태사항 XII, 599 p. online resource.
언어 English
내용 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.
주제 Number theory.
Algorithms.
Computer science --Mathematics.
Discrete mathematics.
Cryptography.
Data encryption (Computer science).
Number Theory.
Algorithms.
Discrete Mathematics in Computer Science.
Cryptology.
Symbolic and Algebraic Manipulation.
보유판 및 특별호 저록 Springer Nature eBook
Printed edition: 9783540826507 Printed edition: 9783540360759
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