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    MOC
    1998
    66views more  MOC 1998»
    Large primes and Fermat factors
    13 years 11 months ago
    Large primes and Fermat factors
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    A systematic search for large primes has yielded the largest Fermat factors known.
    Jeff Young
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    MOC
    1998
    82views more  MOC 1998»
    Vortex method for two dimensional Euler equations in bounded domains with boundary correction
    13 years 11 months ago
    Vortex method for two dimensional Euler equations in bounded domains with boundary correction
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    The vortex method for the initial-boundary value problems of the Euler equations for incompressible flow is studied. A boundary correction technique is introduced to generate seco...
    Lung-an Ying
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    MOC
    1998
    88views more  MOC 1998»
    A space efficient algorithm for group structure computation
    13 years 11 months ago
    A space efficient algorithm for group structure computation
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    We present a new algorithm for computing the structure of a finite abelian group, which has to store only a fixed, small number of group elements, independent of the group order....
    Edlyn Teske
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    MOC
    1998
    97views more  MOC 1998»
    Euclid's algorithm and the Lanczos method over finite fields
    13 years 11 months ago
    Euclid's algorithm and the Lanczos method over finite fields
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    Abstract. This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially w...
    Jeremy Teitelbaum
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    MOC
    1998
    78views more  MOC 1998»
    Factoring elementary groups of prime cube order into subsets
    13 years 11 months ago
    Factoring elementary groups of prime cube order into subsets
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    Let p be a prime and let G be the 3-fold direct product of the cyclic group of order p. R´edei conjectured if G is the direct product of subsets A and B, each of which contains th...
    Sándor Szabó, Coburn Ward
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    MOC
    1998
    88views more  MOC 1998»
    The number of lattice points in alcoves and the exponents of the finite Weyl groups
    13 years 11 months ago
    The number of lattice points in alcoves and the exponents of the finite Weyl groups
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    We count lattice points in certain rational simplices associated with an irreducible finite Weyl group W and observe that these numbers are linked to the exponents of W .
    Ruedi Suter
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    MOC
    1998
    106views more  MOC 1998»
    Class number bounds and Catalan's equation
    13 years 11 months ago
    Class number bounds and Catalan's equation
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    We improve a criterion of Inkeri and show that if there is a solution to Catalan’s equation xp − yq = ±1,(1) with p and q prime numbers greater than 3 and both congruent to 3 ...
    Ray Steiner
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    MOC
    1998
    106views more  MOC 1998»
    Computations of class numbers of real quadratic fields
    13 years 11 months ago
    Computations of class numbers of real quadratic fields
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    In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
    Anitha Srinivasan
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    MOC
    1998
    89views more  MOC 1998»
    Approximation of continuous time stochastic processes by a local linearization method
    13 years 11 months ago
    Approximation of continuous time stochastic processes by a local linearization method
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    This paper investigates the rate of convergence of an alternative approximation method for stochastic differential equations. The rates of convergence of the one-step and multi-st...
    Isao Shoji
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    MOC
    1998
    131views more  MOC 1998»
    An algorithm for evaluation of discrete logarithms in some nonprime finite fields
    13 years 11 months ago
    An algorithm for evaluation of discrete logarithms in some nonprime finite fields
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    In this paper we propose an algorithm for evaluation of logarithms in the finite fields Fpn , where the number pn − 1 has a small primitive factor r. The heuristic estimate of ...
    Igor A. Semaev
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