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MOC
2000
102views more  MOC 2000»
14 years 10 months ago
Class group frequencies of real quadratic function fields: The degree 4 case
Abstract. The distribution of ideal class groups of Fq(T, M(T)) is examined for degree-four monic polynomials M Fq[T] when Fq is a finite field of characteristic greater than 3 wi...
Christian Friesen
MOC
2000
71views more  MOC 2000»
14 years 10 months ago
The third largest prime divisor of an odd perfect number exceeds one hundred
Let (n) denote the sum of positive divisors of the natural number n. Such a number is said to be perfect if (n) = 2n. It is well known that a number is even and perfect if and only...
Douglas E. Iannucci
MOC
2000
80views more  MOC 2000»
14 years 10 months ago
On a unit group generated by special values of Siegel modular functions
Abstract. There has been important progress in constructing units and Sunits associated to curves of genus 2 or 3. These approaches are based mainly on the consideration of propert...
Takashi Fukuda, Keiichi Komatsu
MOC
2000
76views more  MOC 2000»
14 years 10 months ago
Optimal approximation of stochastic differential equations by adaptive step-size control
We study the pathwise (strong) approximation of scalar stochastic differential equations with respect to the global error in the L2-norm. For equations with additive noise we estab...
Norbert Hofmann, Thomas Müller-Gronbach, Klau...
MOC
2000
104views more  MOC 2000»
14 years 10 months ago
Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems
In this paper we analyze the bi-conjugate gradient algorithm in finite precision arithmetic, and suggest reasons for its often observed robustness. By using a tridiagonal structure...
Charles H. Tong, Qiang Ye