[
[1] COQUET, J.: Sur certaines suites uniformement équireparties modulo 1, Acta Arith. 36 (1980), 157–162.10.4064/aa-36-2-157-162
]Search in Google Scholar
[
[2] DELANGE, H.: Sur les fonctions q-additives ou q -multiplicatives, Acta Arith. 21 (1972), 285–298. (errata inserted).10.4064/aa-21-1-285-298
]Search in Google Scholar
[
[3] DRMOTA, M.—LARCHER, G.: The sum-of-digits-function and uniform distribution modulo 1, J. Number Theory 89 (2001), no. 1, 65–96.
]Search in Google Scholar
[
[4] FIALOVÁ, J.—MIŠÍK, L.—STRAUCH, O.: An asymptotic distribution function of the three-dimensional shifted van der Corput sequence, Applied Mathematics 5 (2014), 2334–2359, doi: 10.4236/am.2014.515227.10.4236/am.2014.515227
]Search in Google Scholar
[
[5] GONEK, S. M.—MONTGOMERY, H. L.: Kronecker’s approximation theorem, Indag. Math. New Ser. 27 (2016), no. 2, 506–523.
]Search in Google Scholar
[
[6] GRABNER, P. J.: Erdős-Turán type discrepancy bounds, Monatsh. Math. 111 (1991), no. 2, 127–135.
]Search in Google Scholar
[
[7] HECKE, E.:Über analytische Funktionen und die Verteilung von Zahlen mod. eins, Hamb. Abh. 1 (1921), 54–76.10.1007/BF02940580
]Search in Google Scholar
[
[8] HOFER, R.: Note on the joint distribution of the weighted sum-of-digits function modulo one in case of pairwise coprime bases, Unif. Distrib. Theory 2 (2007), no. 2, 35–47.
]Search in Google Scholar
[
[9] HOFER, R.—LARCHER, G.—PILLICHSHAMMER, F.: Average growth-behavior and distribution properties of generalized weighted digit-block-counting functions, Monatsh. Math. 154 (2008), no. 3, 199–230.
]Search in Google Scholar
[
[10] KIM, D.-H.: On the distribution modulo 1 of q-additive functions, Acta Math. Hung. 90 (2001), no. 1–2, 75–83.
]Search in Google Scholar
[
[11] KUIPERS, L.—NIEDERREITER, H.: Uniform Distribution of Sequences. In: Pure and Applied Mathematics. John Wiley & Sons, a Wiley Interscience Publication, New York, 1974.
]Search in Google Scholar
[
[12] KUIPERS, L.—NIEDERREITER, H.: Uniform Distribution of Sequences. Pure and Applied Mathematics. John Wiley & Sons, a Wiley Interscience Publication, New York, 1974.
]Search in Google Scholar
[
[13] LARCHER, G.: On the distribution of sequences connected with digit-representation, Manuscr. Math. 61 (1988), no. 1, 33–42.
]Search in Google Scholar
[
[14] MAUDUIT, C.—RIVAT, J.: Sur un problème de gelfond: la somme des chiffres des nombres premiers, Annals of Mathematics 171 (2010), no. 3, 1591–1646.
]Search in Google Scholar
[
[15] FRANCE, M. M.: Nombres normaux applications aux fonctions pseudoaleatoires, J. Anal. Math. 20 (1967), 1–56.10.1007/BF02786669
]Search in Google Scholar
[
[16] NIEDERREITER, H.: On the discrepancy of some hybrid sequences, Acta Arith. 138 (2009), no. 4, 373–398.
]Search in Google Scholar
[
[17] PILLICHSHAMMER, F.: Uniform distribution of sequences connected with the weighted sum-of-digits function, Unif. Distrib. Theory 2 (2007), no. 1, 1–10.
]Search in Google Scholar
[
[18] PORUBSKÝ, Š.— STRAUCH, O.: A common structure of nk’s for which nkα mod 1 → x, Publ. Math. 86 (2015), no. 3–4, 493–502.
]Search in Google Scholar
[
[19] STRAUCH, O.: Unsolved problems, Tatra Mt. Math. Publ. 56 2013, 109–229, https://math.boku.ac.at/udt/unsolvedproblems.pdf10.2478/tmmp-2013-0029
]Search in Google Scholar
[
[20] STRAUCH, O.—PORUBSKÝ, Š.: Distribution of Sequences: A Sampler. In: Schriftenreihe der Slowakischen Akademie der Wissenschaften 1. [Series of the Slovak Academy of Sciences] Vol. 1. Peter Lang, Frankfurt am Main, 2005.
]Search in Google Scholar
[
[21] TICHY, R. F.—TURNWALD, G.: On the discrepancy of some special sequences, J. Number Theory, 26 (1987), 68–78.10.1016/0022-314X(87)90096-5
]Search in Google Scholar
