Geodesic
A metrical result on the discrepancy of (nα)
Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 393-425

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

In the following let Ω be the set of irrational numbers in the interval [0,1] and let λ be Lebesgue measure restricted to Ω. For any real number x, let {x} = x - [x] be the fractional part of x. Let N be anatural number and let α e Ω. Thenis known as the discrepancy of the sequence (nα)n>1 modulo 1; here c[x, y) denotes the characteristic function of the interval [x, y). 
Schoissengeier, J. A metrical result on the discrepancy of (nα). Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 393-425. doi: 10.1017/S0017089500032742
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