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    MOC
    1998
    66views more  MOC 1998»
    Large primes and Fermat factors
    13 years 4 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 4 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 4 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 4 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 4 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 4 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 4 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 4 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 4 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 4 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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