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MOC
1998
131views more  MOC 1998»
13 years 10 months ago
An algorithm for evaluation of discrete logarithms in some nonprime finite fields
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
MOC
1998
89views more  MOC 1998»
13 years 10 months ago
Approximation of continuous time stochastic processes by a local linearization method
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
MOC
1998
106views more  MOC 1998»
13 years 10 months ago
Class number bounds and Catalan's equation
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
MOC
1998
88views more  MOC 1998»
13 years 10 months ago
A space efficient algorithm for group structure computation
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
MOC
2002
99views more  MOC 2002»
13 years 10 months ago
The irreducibility of some level 1 Hecke polynomials
Let Tp,k(x) be the characteristic polynomial of the Hecke operator Tp acting on the space of level 1 cusp forms Sk(1). We show that Tp,k(x) is irreducible and has full Galois group...
D. W. Farmer, K. James