Log-Like Functions and Uniform Distribution Modulo One

[1] GOTO, K.—KANO, T.: Uniform Distribution of Some Special Sequences, Proc. Japan Acad. Ser. A 61 (1985), no. 3, 83–86.10.3792/pjaa.61.83Search in Google Scholar

[2] _____Remarks to our Former Paper Uniform Distribution of Some Special Sequences, Proc. Japan Acad. Ser. A 68 (1992), no. 10, 348–350.10.3792/pjaa.68.348Search in Google Scholar

[3] GROSSWALD, E.—SCHNITZER, F.J.: A Class of modified ζ and L-Functions, Pacific Journal of Mathematics 74 (1978), no. 2, 357–364.10.2140/pjm.1978.74.357Search in Google Scholar

[4] KUIPERS, L.—NIEDERREITER, H.: Uniform Distribution of Sequences. Dover Publications, New York 2006.Search in Google Scholar

[5] MÜLLER, H.: Über eine Klasse modifizierter ζ- und L-Funktionen, Arch. Math. 36 (1981), 157–161.10.1007/BF01223684Search in Google Scholar

[6] STRAUCH, O.—PORUBSKÝ, Š.: Distribution of Sequences: A Sampler. eBook, 2016. https://math.boku.ac.at/udt/books/MYBASISNew.pdfSearch in Google Scholar

[7] TOO, Y.-H.: On the Uniform Distribution Modulo One of Some Log-like Sequences, Proc. Japan Acad. Ser. A 68 (1992), no. 9, 269–272.10.3792/pjaa.68.269Search in Google Scholar

[8] PARENT, D. P.: Exercises in Number Theory. Springer, New York 1984.Search in Google Scholar

[9] TITCHMARSH, E. C.: The Theory of the Riemann Zeta-Function. Oxford University Press, second edition, New York 1986.Search in Google Scholar

[10] WINTNER, A.: On the cyclical distribution of the logarithms of the prime numbers, Quart. J. Math. 6 (1935), no. 1, 65–68.10.1093/qmath/os-6.1.65Search in Google Scholar

[11] ZYGMUND, A.: Trigonometric Series. Cambridge University Press, third edition, London 2002.Search in Google Scholar