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MOC
2000
102views more  MOC 2000»
13 years 8 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»
13 years 8 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»
13 years 8 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»
13 years 8 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»
13 years 8 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