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MOC

1998

11 years 5 months ago
1998

A systematic search for large primes has yielded the largest Fermat factors known.

MOC

1998

11 years 5 months ago
1998

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...

MOC

1998

11 years 5 months ago
1998

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....

MOC

1998

11 years 5 months ago
1998

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...

MOC

1998

11 years 5 months ago
1998

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...

MOC

1998

11 years 5 months ago
1998

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 .

MOC

1998

11 years 5 months ago
1998

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 ...

MOC

1998

11 years 5 months ago
1998

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...

MOC

1998

11 years 5 months ago
1998

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...

MOC

1998

11 years 5 months ago
1998

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 ...