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MOC
2000
71views more  MOC 2000»
13 years 4 months ago
Zeroes of Dirichlet L-functions and irregularities in the distribution of primes
Seven widely spaced regions of integers with 4,3(x) < 4,1(x) have been discovered using conventional prime sieves. Assuming the generalized Riemann hypothesis, we modify a resul...
Carter Bays, Richard H. Hudson
CORR
2008
Springer
132views Education» more  CORR 2008»
13 years 4 months ago
Trading GRH for algebra: algorithms for factoring polynomials and related structures
Abstract. In this paper we develop a general technique to eliminate the assumption of the Generalized Riemann Hypothesis (GRH) from various deterministic polynomial factoring algor...
Gábor Ivanyos, Marek Karpinski, Lajos R&oac...
FOCS
1997
IEEE
13 years 8 months ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran
WCC
2005
Springer
115views Cryptology» more  WCC 2005»
13 years 10 months ago
On the Weights of Binary Irreducible Cyclic Codes
This paper is devoted to the study of the weights of binary irreducible cyclic codes. We start from McEliece’s interpretation of these weights by means of Gauss sums. Firstly, a ...
Yves Aubry, Philippe Langevin