Talk:Szemerédi's theorem

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[edit] Logarithmic density

In the current version of the entry it is written that: 'positive logarithmic density', i.e. a sequence whose series of reciprocals diverges. In my opinion divergent series of reciprocals is not the same as positive logarithmic density. (For the definition of the logarithmic density, which I know, see [1]) For instance, the set P of all primes has asymptotic density (hence also logarithmic density) equal to 0, but the series of reciprocals is divergent. The conjecture was stated with reciprocals. Have you seen another definition of logarithmic density elsewhere? --Kompik 18:18, 6 October 2005 (UTC)

I have removed the phrase. Charles Matthews 20:13, 6 October 2005 (UTC)