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MR1219482 (94b:11029) 11D68
Brenton, Lawrence; Drucker, Daniel On the number of solutions of $\sum\sp s\sb {j=1}(1/x\sb j)+1/(x\sb 1\cdots x\sb s)=1$. J. Number Theory 44 (1993), no. 1, 25--29.
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