Geodesic
On a cyclic sum
Glasgow mathematical journal, Tome 6 (1963) no. 1, pp. 11-13

Voir la notice de l'article provenant de la source Cambridge University Press

1. For any positive integral n and any positive real x1,...,xn we writeclearly. It is known [1,2] thatfor n ≦ 6, and further [4, 5, 6] that (5) is false for even n ≧ 14 and for odd n ≧ 53. Mordell [2] conjectured that (5) is false for all n ≧ 7, but recently [3] stated that computations indicated that (5) is true for n = 7 and gave some calculations in support of (5) for n = 7. 
Diananda, P. H. On a cyclic sum. Glasgow mathematical journal, Tome 6 (1963) no. 1, pp. 11-13. doi: 10.1017/S2040618500034626
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[1] 1.Diananda, P. H., Extensions of an inequality of H. S. Shapiro, Amer. Math. Monthly 66 (1959), 489–491. Google Scholar

[2] 2.Mordell, L. J., On the inequality and some others, Abh. Math. Sem. Univ. Hamburg 22 (1958), 229–240. Google Scholar | DOI

[3] 3.Mordell, L. J., Note on the inequality J. London Math. Soc. 37 (1962), 176–178. Google Scholar | DOI

[4] 4.Rankin, R. A., An inequality, Math. Gaz. 42 (1958), 39–40. Google Scholar | DOI

[5] 5.Zulauf, A., Note on a conjecture of L. J. Mordell, Abh. Math. Sem. Univ. Hamburg 22 (1958), 240–241. Google Scholar

[6] 6.Zulauf, A., On a conjecture of L. J. Mordell, II, Math. Gaz. 43 (1959), 182–184. Google Scholar | DOI

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