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On a cyclic sum

On a cyclic sum

1. For any positive integral n and any positive real x 1 ,…,x n we write clearly. It is known [1,2] that for n ≦ 6, and further [4, 5, 6] that (5) is false for even n ≧ 14 and for odd n ≧ 53. Mordell [2] conjectured that …