ERDÖS NUMBER

The first chain is a consequence of the papers

Three-term relations for Hardy sums, Martin R. Pettet and R. Sitaramachandrarao, J. Number Theory, Vol. 25, No. 3 (1987), 328-339; MR 88e:11028. Sums involving the largest prime divisor of an integer, Jean-Marie De Koninck and R. Sitaramachandrarao, Acta Arith. 48, No. 1 (1987), 3-8; MR 88g:11066. Reciprocals of certain large additive functions, Jean-Marie De Koninck, Paul Erdös and A. Ivic, Canad. Math. Bull. 24 (1981), no. 2, 225-231; MR 82k:10053.

and the second is a consequence of

On semisimple rings that are centralizer near-rings, C. J. Maxson, M.R. Pettet and K.C. Smith, Pac. J. Math., Vol. 101, No. 2 (1982), 451-461; MR83m:16036. Answers to questions posed by Richman and Schneider, I. Borosh, D.J. Hartfiel and C.J. Maxson, Linear and Multilinear Algebra 3 (1975/76), no. 4, 255-258; MR 53 #8097. On changes of signs in infinite series (Russian summary), I. Borosh, C.K. Chui and P. Erdös, Anal. Math. 4 (1978), no. 1, 3-12; MR 58 #1805.

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