Le, Maohua A conjecture concerning the reciprocal partition theory. (English) Zbl 1058.11546 Smarandache Notions J. 12, No. 1-3, 242-243 (2001). Summary: We prove that there exist infinitely many disjoint sets of positive integers which the sum of whose reciprocals is equal to unity. MSC: 11P81 Elementary theory of partitions Keywords:disjoint set of positive integers; sum of reciprocals; unity PDFBibTeX XMLCite \textit{M. Le}, Smarandache Notions J. 12, No. 1--3, 242--243 (2001; Zbl 1058.11546)