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130626 ||| eng |
| 020 |
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|a 9783540360766
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| 100 |
1 |
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|a Hess, Florian
|e [editor]
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| 245 |
0 |
0 |
|a Algorithmic Number Theory
|h Elektronische Ressource
|b 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings
|c edited by Florian Hess, Sebastian Pauli, Michael Pohst
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| 250 |
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|a 1st ed. 2006
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2006, 2006
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| 300 |
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|a XII, 599 p
|b online resource
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| 505 |
0 |
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|a 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
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| 505 |
0 |
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|a 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 --
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| 505 |
0 |
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|a 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 --
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| 653 |
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|a Number theory
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| 653 |
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|a Symbolic and Algebraic Manipulation
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| 653 |
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|a Computer science / Mathematics
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| 653 |
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|a Discrete Mathematics in Computer Science
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| 653 |
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|a Number Theory
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| 653 |
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|a Cryptography
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| 653 |
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|a Algorithms
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| 653 |
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|a Data encryption (Computer science)
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| 653 |
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|a Cryptology
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| 653 |
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|a Discrete mathematics
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| 700 |
1 |
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|a Pauli, Sebastian
|e [editor]
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| 700 |
1 |
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|a Pohst, Michael
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Lecture Notes in Computer Science
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| 028 |
5 |
0 |
|a 10.1007/11792086
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/11792086?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 512.7
|