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» Sub-Ramsey Numbers for Arithmetic Progressions
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ENDM
2007
96views more  ENDM 2007»
13 years 4 months ago
Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples
For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainb...
Jacob Fox, Veselin Jungic, Rados Radoicic
GC
2006
Springer
13 years 4 months ago
Sub-Ramsey Numbers for Arithmetic Progressions
Maria Axenovich, Ryan Martin
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
ITA
2006
100views Communications» more  ITA 2006»
13 years 4 months ago
Sequences of low arithmetical complexity
Arithmetical complexity of a sequence is the number of words of length n that can be extracted from it according to arithmetic progressions. We study uniformly recurrent words of l...
Sergey V. Avgustinovich, Julien Cassaigne, Anna E....
COMBINATORICS
2004
76views more  COMBINATORICS 2004»
13 years 4 months ago
On Rainbow Arithmetic Progressions
Consider natural numbers {1,
Maria Axenovich, Dmitry Fon-Der-Flaass