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MOC
2000
122views more  MOC 2000»
13 years 10 months ago
Explicit resolutions of cubic cusp singularities
Resolutions of cusp singularities are crucial to many techniques in computational number theory, and therefore finding explicit resolutions of these singularities has been the focu...
H. G. Grundman
MOC
2000
84views more  MOC 2000»
13 years 10 months ago
Solving Thue equations without the full unit group
Abstract. The main problem when solving a Thue equation is the computation of the unit group of a certain number field. In this paper we show that the knowledge of a subgroup of fi...
Guillaume Hanrot
MOC
2000
67views more  MOC 2000»
13 years 10 months ago
New primitive t-nomials (t = 3, 5) over GF(2) whose degree is a Mersenne exponent
All primitive trinomials over GF (2) with degree 859433 (which is the 33rd Mersenne exponent) are presented. They are X859433 + X288477 + 1 and its reciprocal. Also two examples of...
Toshihiro Kumada, Hannes Leeb, Yoshiharu Kurita, M...
MOC
2000
86views more  MOC 2000»
13 years 10 months ago
Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations
The probabilistic approach is used for constructing special layer methods to solve the Cauchy problem for semilinear parabolic equations with small parameter. Despite their probabi...
G. N. Milstein, M. V. Tretyakov
MOC
2000
94views more  MOC 2000»
13 years 10 months ago
A new summation method for power series with rational coefficients
Abstract. We show that an asymptotic summation method, recently proposed by the authors, can be conveniently applied to slowly convergent power series whose coefficients are ration...
Silvia Dassié, Marco Vianello, Renato Zanov...