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» On Rainbow Arithmetic Progressions
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COMBINATORICS
2006
102views more  COMBINATORICS 2006»
13 years 6 months ago
Discrepancy of Sums of Three Arithmetic Progressions
The set system of all arithmetic progressions on [n] is known to have a discrepancy of order n1/4. We investigate the discrepancy for the set system S3 n formed by all sums of thr...
Ales Prívetivý
MOC
2002
86views more  MOC 2002»
13 years 6 months ago
Ten consecutive primes in arithmetic progression
Abstract. In 1967 the first set of 6 consecutive primes in arithmetic progression was found. In 1995 the first set of 7 consecutive primes in arithmetic progression was found. Betw...
Harvey Dubner, Tony Forbes, Nik Lygeros, Michel Mi...
EM
2010
154views Management» more  EM 2010»
13 years 1 months ago
Chebyshev's Bias for Products of Two Primes
Under two assumptions, we determine the distribution of the difference between two functions each counting the numbers x that are in a given arithmetic progression modulo q and the...
Kevin Ford, Jason Sneed
CASC
2010
Springer
153views Mathematics» more  CASC 2010»
13 years 3 months ago
Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden
Abstract. Residue systems present a well-known way to reduce computation cost for symbolic computation. However most residue systems are implemented for integers or polynomials. Th...
Oleg Lobachev, Rita Loogen
DAC
2007
ACM
14 years 7 months ago
Progressive Decomposition: A Heuristic to Structure Arithmetic Circuits
Despite the impressive progress of logic synthesis in the past decade, finding the best architecture for a given circuit still remains an open problem and largely unsolved. In mos...
Ajay K. Verma, Philip Brisk, Paolo Ienne