GAPS IN SUMSETS OF s PSEUDO s-TH POWER SEQUENCES

نویسنده

  • JAVIER CILLERUELO
چکیده

We study the length of the gaps between consecutive members in the sumset sA when A is a pseudo s-th power sequence, with s ≥ 2. We show that, almost surely, lim sup(bn+1 − bn)/ log(bn) = sss!/Γs(1/s), where bn are the elements of sA.

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تاریخ انتشار 2014