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MOC
1998
131views more  MOC 1998»
15 years 4 days 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»
15 years 4 days 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
98
Voted
MOC
1998
106views more  MOC 1998»
15 years 4 days 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
141
Voted
MOC
1998
88views more  MOC 1998»
15 years 4 days 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
81
Voted
MOC
2002
99views more  MOC 2002»
15 years 4 days 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