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» On Rainbow Arithmetic Progressions
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COMBINATORICS
2006
102views more  COMBINATORICS 2006»
13 years 4 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 4 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»
12 years 11 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 1 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 5 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