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Wolf Marek
artykuł
The results of computer investigation of the sign changes of the difference between the number of twin primes π2 (x) and the Hardy-Littlewood conjecture C2Li2 (x) are reported. It turns out that d2 (x) = π2 (x) − C2Li2 (x) changes the sign at unexpectedly low values of x and for x < 2 48 = 2.81... × 10 14 there are 477118 sign changes of this difference. It is conjectured that the number of sign changes of d2 (x) for x ∈(1, T ) is given by T / log(T). The running logarithmic densities of the sets for which d2 (x) > 0 and d2 (x) < 0 are plotted for x up to 2 48.
Poznań
OWN
2011.08.15
2011.04.05
2011.10.05
2011.06.12
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oai:lib.psnc.pl:742
eng
Aug 19, 2014
Jun 27, 2014
213
https://lib.psnc.pl/publication/925
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