On the Solutions of σ ( n ) = σ ( n + k ) Andreas Weingartner Department of Mathematics Southern Utah University Cedar City , Utah 84720 USA

نویسنده

  • Andreas Weingartner
چکیده

Given a fixed even integer k, we show that Schinzel’s hypothesis H implies that σ(n) = σ(n + k) infinitely often. We also discuss the case of odd k and the more general equation σα(n) = σα(n+ k).

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تاریخ انتشار 2011