000 05072nam a22006135i 4500
001 978-3-540-36076-6
003 DE-He213
005 20240730183844.0
007 cr nn 008mamaa
008 100301s2006 gw | s |||| 0|eng d
020 _a9783540360766
_9978-3-540-36076-6
024 7 _a10.1007/11792086
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
072 7 _aPBH
_2thema
082 0 4 _a512.7
_223
245 1 0 _aAlgorithmic Number Theory
_h[electronic resource] :
_b7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings /
_cedited by Florian Hess, Sebastian Pauli, Michael Pohst.
250 _a1st ed. 2006.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2006.
300 _aXII, 599 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Computer Science,
_x1611-3349 ;
_v4076
505 0 _aInvited 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.
650 0 _aNumber theory.
_913208
650 0 _aAlgorithms.
_93390
650 0 _aComputer science
_xMathematics.
_93866
650 0 _aDiscrete mathematics.
_912873
650 0 _aCryptography.
_91973
650 0 _aData encryption (Computer science).
_99168
650 1 4 _aNumber Theory.
_913208
650 2 4 _aAlgorithms.
_93390
650 2 4 _aDiscrete Mathematics in Computer Science.
_931837
650 2 4 _aCryptology.
_931769
650 2 4 _aSymbolic and Algebraic Manipulation.
_955589
700 1 _aHess, Florian.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_9133737
700 1 _aPauli, Sebastian.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_9133738
700 1 _aPohst, Michael.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_9133739
710 2 _aSpringerLink (Online service)
_9133740
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783540360759
776 0 8 _iPrinted edition:
_z9783540826507
830 0 _aLecture Notes in Computer Science,
_x1611-3349 ;
_v4076
_923263
856 4 0 _uhttps://doi.org/10.1007/11792086
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
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999 _c92086
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