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APPROX
2006
Springer
126views Algorithms» more  APPROX 2006»
14 years 3 months ago
Better Approximations for the Minimum Common Integer Partition Problem
Abstract. In the k-Minimum Common Integer Partition Problem, abbreviated k-MCIP, we are given k multisets X1, . . . , Xk of positive integers, and the goal is to find an integer mu...
David P. Woodruff
APPROX
2006
Springer
114views Algorithms» more  APPROX 2006»
14 years 3 months ago
Stochastic Combinatorial Optimization with Controllable Risk Aversion Level
Anthony Man-Cho So, Jiawei Zhang, Yinyu Ye
ANTS
2006
Springer
132views Algorithms» more  ANTS 2006»
14 years 3 months ago
20 Years of ECM
Paul Zimmermann, Bruce Dodson
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
14 years 3 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
ANTS
2006
Springer
114views Algorithms» more  ANTS 2006»
14 years 3 months ago
The Pseudosquares Prime Sieve
We present the pseudosquares prime sieve, which finds all primes up to n. Define p to be the smallest prime such that the pseudosquare Lp > n/((p)(log n)2 ); here (x) is the pri...
Jonathan Sorenson
ANTS
2006
Springer
127views Algorithms» more  ANTS 2006»
14 years 3 months ago
Doubly-Focused Enumeration of Pseudosquares and Pseudocubes
This paper offers numerical evidence for a conjecture that primality proving may be done in (log N)3+o(1) operations by examining the growth rate of quantities known as pseudosquar...
Kjell Wooding, Hugh C. Williams
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
14 years 3 months ago
Determined Sequences, Continued Fractions, and Hyperelliptic Curves
In this report I sanitise (in the sense of `bring some sanity to') the arguments of earlier reports detailing the correspondence between sequences (M +hS)-<h< of divisor...
Alfred J. van der Poorten