Some remarks on the discrepancy of the sequence $\bigl(\alpha\sqrt{n}\bigr)$
Communications in Mathematics, Tome 6 (1998) no. 1, pp. 27-30
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Baxa, Christoph. Some remarks on the discrepancy of the sequence $\bigl(\alpha\sqrt{n}\bigr)$. Communications in Mathematics, Tome 6 (1998) no. 1, pp. 27-30. http://geodesic.mathdoc.fr/item/COMIM_1998_6_1_a3/

[1] Baxa C.: On the discrepancy of the sequence $(\alpha\sqrt{n})$ II. Arch. Math, (to appear). | MR

[2] Baxa C., Schoißengeier J.: On the discrepancy of the sequence $(\alpha\sqrt{n})$. J. Lond. Math. Soc (to appear). | MR

[3] Lerch M.: Sur quelques applications des sommes de Gauss. Ann. Mat. Pura Appl. (3. Ser.) 11 (1905), 79-91.

[4] Schoißengeier J. : On the discrepancy of sequences $(\alpha n^\sigma$. Acta Math. Acad. Sci. Hung. 38 (1981), 29-43. | DOI | MR | Zbl