00-39   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Vsevolod F. Lev, Tomasz Schoen:

Cameron-Erdös Modulo a Prime

We prove that for p prime and sufficiently large, the number of Zp subsets free of solutions of the equation x+y = z (that is, free of Schur triples) satisfies

2(p-2)/3 (p-1) (1 + O(2-cp) <= ¦ SF(Zp) ¦ <= 2(p/2-dp),

where c and d are positive absolute constants.

Mail an Jens Burmeister
[Thu Feb 19 18:56:35 2009]
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