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MOC
2002
113views more  MOC 2002»
13 years 11 months ago
Computation of several cyclotomic Swan subgroups
Let Cl(OK [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free OK [G]-modules, where OK is the ring of algebraic integers in th...
Timothy Kohl, Daniel R. Replogle
MOC
2002
132views more  MOC 2002»
13 years 11 months ago
Comparison of algorithms to calculate quadratic irregularity of prime numbers
In previous work, the author has extended the concept of regular and irregular primes to the setting of arbitrary totally real number fields k0, using the values of the zeta functi...
Joshua Holden
MOC
2002
73views more  MOC 2002»
13 years 11 months ago
Evaluation of zeta function of the simplest cubic field at negative odd integers
Abstract. In this paper, we are interested in the evaluation of the zeta function of the simplest cubic field. We first introduce Siegel's formula for values of the zeta funct...
Hyun Kwang Kim, Jung Soo Kim
MOC
2002
118views more  MOC 2002»
13 years 11 months ago
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension
Dimensionally unbounded problems are frequently encountered in practice, such as in simulations of stochastic processes, in particle and light transport problems and in the problem...
Fred J. Hickernell, Xiaoqun Wang
MOC
2002
81views more  MOC 2002»
13 years 11 months ago
Analysis of a bilinear finite element for shallow shells I: Approximation of inextensional deformations
We consider a bilinear reduced-strain finite element formulation for a shallow shell model of Reissner
Ville Havu, Juhani Pitkäranta
MOC
2002
75views more  MOC 2002»
13 years 11 months ago
Quincunx fundamental refinable functions and quincunx biorthogonal wavelets
Abstract. We analyze the approximation and smoothness properties of quincunx fundamental refinable functions. In particular, we provide a general way for the construction of quincu...
Bin Han 0003, Rong-Qing Jia
MOC
2002
87views more  MOC 2002»
13 years 11 months ago
On the resolution of relative Thue equations
An efficient algorithm is given for the resolution of relative Thue equations. The essential improvement is the application of an appropriate version of Wildanger's enumeratio...
István Gaál, Michael Pohst
MOC
2002
101views more  MOC 2002»
13 years 11 months ago
Proving the deterministic period breaking of linear congruential generators using two tile quasicrystals
We describe the design of a family of aperiodic PRNGs (APRNGs). We show how a one-dimensional two tile cut and project quasicrystal (2TQC) used in conjunction with LCGs in an APRNG...
Louis-Sebastien Guimond, Jiri Patera
MOC
2002
85views more  MOC 2002»
13 years 11 months ago
Hensel lifting and bivariate polynomial factorisation over finite fields
This paper presents an average time analysis of a Hensel lifting based factorisation algorithm for bivariate polynomials over finite fields. It is shown that the average running ti...
Shuhong Gao, Alan G. B. Lauder
MOC
2002
100views more  MOC 2002»
13 years 11 months ago
Numerical computation of viscous profiles for hyperbolic conservation laws
Viscous profiles of shock waves in systems of conservation laws can be viewed as heteroclinic orbits in associated systems of ordinary differential equations (ODE). In the case of ...
Heinrich Freistühler, Christian Rohde