Abstract. Integer factorization is a very hard computational problem. Currently no ecient algorithm for integer factorization is publicly known. However, this is an important probl...
We present a technique to recover f ∈ Q(ζp) where ζp is a primitive pth root of unity for a prime p, given its norm g = f ∗ ¯f in the totally real field Q(ζp + ζ−1 p )....
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...
In this paper we introduce construction algorithms for Korobov rules for numerical integration which work well for a given set of dimensions simultaneously. The existence of such ...
Josef Dick, Friedrich Pillichshammer, Benjamin J. ...
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...