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References:
[1] FRANEL J.: Les suites de Farey et le problème des nombres premiers. Göttinger Nachrichten, 1924, 198-201.
[2] LANDAU E.: Bemerkungen zu der vorstehenden Abhandlung von Herrn Franel. Göttinger Nachrichten, 1924, 202-206.
[3] LANDAU E.: Vorlesung über Zahlentheoгie. Band 2. Verlag von S. Hirzel in Leipzig 1927.
[4] KLUYVER J. C.: An analytical expression for the greatest common divisor of two integers. Proceedings Royal Acad. Amsterdam, Vol. V, II, 1903, 658-662.
[5] GÁL I. S.: A theorem concerning diophantine approximations. Nieuw Arch. Wisk. 23, 1949, 13-38. MR 0027788 | Zbl 0031.25601
[6] KOKSMA J. F.: On a certain integral in the theory of uniform distribution. Indag. Math. 13, 1951, 285-287. MR 0045165 | Zbl 0043.27701
[7] LE VEQUE W. J.: On the frequency of small fractional parts in certain real sequences III. J. Reine Angew. Math. 202, 1959, 215-220. MR 0121351
[8] STRAUCH O.: Some new criterions for sequences which satisfy Duffin - Schacffer conjecture I. Acta Math. Univ. Comenian. 42-43, 1983, 87-95. MR 0740736
[9] DYER T., HARMAN G.: Sums involving common divisors. J. London Math. Soc. (2) 34, 1986, 1-11. MR 0859143 | Zbl 0602.10041
[10] KUIPERS L., NIEDERREITER H.: Uniform Distribution of Sequences. J. Wiley New York 1974. MR 0419394 | Zbl 0281.10001
[11] KOKSMA J. F.: A general theorem from the theory of uniform distribution modulo 1. Mathematica, Zutphen B11, 1942, 7-11. MR 0015094
[12] KOKSMA J. F.: Some integrals in the theory of uniform distribution modulo 1. Mathematica, Zutphen B11, 1942,49-52. MR 0015095
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