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MOC
2002
109views more  MOC 2002»
13 years 4 months ago
The parallelized Pollard kangaroo method in real quadratic function fields
Abstract. We show how to use the parallelized kangaroo method for computing invariants in real quadratic function fields. Specifically, we show how to apply the kangaroo method to ...
Andreas Stein, Edlyn Teske
MOC
2002
80views more  MOC 2002»
13 years 4 months ago
Component-by-component construction of good lattice rules
This paper provides a novel approach to the construction of good lattice rules for the integration of Korobov classes of periodic functions over the unit s-dimensional cube. Theore...
Ian H. Sloan, Andrew V. Reztsov
MOC
2002
86views more  MOC 2002»
13 years 4 months ago
On the step-by-step construction of quasi--Monte Carlo integration rules that achieve strong tractability error bounds in weight
We develop and justify an algorithm for the construction of quasi
Ian H. Sloan, Frances Y. Kuo, Stephen Joe
MOC
2002
70views more  MOC 2002»
13 years 4 months ago
Solving norm equations in relative number fields using S-units
Abstract. In this paper, we are interested in solving the so-called norm equation NL/K(x) = a, where L/K is a given arbitrary extension of number fields and a a given algebraic num...
Denis Simon
MOC
2002
60views more  MOC 2002»
13 years 4 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
98views more  MOC 2002»
13 years 4 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
104views more  MOC 2002»
13 years 4 months ago
Numerical calculation of the density of prime numbers with a given least primitive root
In this paper the densities D(i) of prime numbers p having the least primitive root g(p) = i, where i is equal to one of the initial positive integers less than 32, have been numer...
A. Paszkiewicz, Andrzej Schinzel
MOC
2002
84views more  MOC 2002»
13 years 4 months ago
On the least prime primitive root modulo a prime
We derive a conditional formula for the natural density E(q) of prime numbers p having its least prime primitive root equal to q, and compare theoretical results with the numerical...
A. Paszkiewicz, Andrzej Schinzel