Geodesic
Sets of integers containing no n terms in geometric progression
Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 137-146

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

R. A. Rankin [3] considered the problem of finding, for each integer n ≧ 3, a sequence of positive integers containing no n−term geometric progression. He constructed such sets Bn having asymptotic densityFor example A3 ≑ 0·71975, A4 ≑ 0·8626, and An→1 as n → ∞. 
Riddell, J. Sets of integers containing no n terms in geometric progression. Glasgow mathematical journal, Tome 10 (1969) no. 2, pp. 137-146. doi: 10.1017/S0017089500000690
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[1] 1.Ayoub, R., An introduction to the analytic theory of numbers, Mathematical Surveys, No. 10. American Mathematical Society (Providence, 1963), p. 86. Google Scholar

[2] 2.Bateman, P. T., Solution to Problem 4459 [1951, p. 636], American Math. Monthly 61 (1954), 477–479. Google Scholar

[3] 3.Rankin, R. A., Sets of integers containing not more than a given number of terms in arithmetical progression, Proc. Roy. Soc. Edinburgh Sect. A 65 (1962), 332–344. Google Scholar

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