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MOC
2002
112views more  MOC 2002»
14 years 9 months ago
Approximation of the Hilbert Transform on the real line using Hermite zeros
The authors study the Hilbert Transform on the real line. They introduce some polynomial approximations and some algorithms for its numerical evaluation. Error estimates in uniform...
M. C. De Bonis, Biancamaria Della Vecchia, Giusepp...
MOC
2002
85views more  MOC 2002»
14 years 9 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
98views more  MOC 2002»
14 years 9 months ago
Bounds for the smallest norm in an ideal class
We develop a method for obtaining upper bounds for the smallest norm among all norms of integral ideals in an ideal class. Applying this to number fields of small degree, we are ab...
Ana-Cecilia de la Maza
MOC
2002
60views more  MOC 2002»
14 years 9 months ago
The Igusa local zeta functions of elliptic curves
Abstract. We determine the explicit form of the Igusa local zeta function associated to an elliptic curve. The denominator is known to be trivial. Here we determine the possible nu...
Diane Meuser, Margaret Robinson
MOC
2002
136views more  MOC 2002»
14 years 9 months ago
Automatic reduction of elliptic integrals using Carlson's relations
In a series of papers, B. C. Carlson produced tables of elliptic integrals, evaluating them in terms of easily computed symmetrical functions, using a group of multivariate recurre...
Norman Gray