[[1] BARREIRA, L.—IOMMI, G.: Frequency of digits in the Lüroth expansion, J.Number Theory 129 (2009), 1479–1490.10.1016/j.jnt.2008.06.002]Search in Google Scholar
[[2] BARRIONUEVO, J.—BURTON, R. M.—DAJANI, K.—KRAAIKAMP, C.: Ergodic properties of generalized Lüroth series, Acta Arith. 74 (1996), no. 4, 311–327.]Search in Google Scholar
[[3] CAO, C.—WU, J.—ZHANG, Z.: The efficiency of approximating real numbers by Lüroth expansion, Czechoslovak Math. J. 63 (138) (2013), no. 2, 497–513.]Search in Google Scholar
[[4] GALAMBOS, J.: Representations of Real Numbers by Infinite Series, in: Lect. Notes in Math. Vol. 502, Springer-Verlag, Berlin, Heidelberg, New York, 1976, vi +146 pp.10.1007/BFb0081642]Search in Google Scholar
[[5] JAGER, H.—DE VROEDT, C.: Lüroth series and their ergodic properties, Indag. Math. 31 (1968), 31–42.]Search in Google Scholar
[[6] KALPAZIDOU, S.—KNOPFMACHER A.—KNOPFMACHER J.: Metric properties of alternating Lüroth series, Port. Math. 48 (1991), 319–325.]Search in Google Scholar
[[7] KALPAZIDOU, S.—KNOPFMACHER, A.—KNOPFMACHER, J.: Lüroth-type alternating series representations for real numbers, Acta Arith. 55 (1990), no. 4, 311–322.]Search in Google Scholar
[[8] KESSEBHMER, M.—MUNDAY, S.—STRATMANN, B. O.: Strong renewal theorems and Lyapunov spectra for α-Farey and α-Lüroth systems, Ergodic Theory Dynam. Systems 32 (2012), no. 3, 989–1017.]Search in Google Scholar
[[9] LINERO, A.—ROSALSKY, A.: On the Toeplitz lemma, convergence in probability, and mean convergence, Stoch. Anal. Appl., 31 (2013), no. 4, 684–694.]Search in Google Scholar
[[10] LÜROTH, J.: Ueber eine eindeutige Entwickelung von Zahlen in eine unendliche Reihe, Math. Ann. 21 (1883), 411–423.10.1007/BF01443883]Search in Google Scholar
[[11] MUNDAY, S.: (2011) A note on Diophantine fractals for α–Lüroth systems, Integers 11B, Paper No. A10, 14 pp.]Search in Google Scholar
[[12] PERRON, O.: Irrationalzahlen, de Gruyter, Berlin, 1960.10.1515/9783110836042]Search in Google Scholar
[[13] ŠALÁT, T.: Zur metrischen Theorie der Lürothschen Entwicklungen der reellen Zahlen, Czechoslovak Math. J. 18 (1968), 489–522.10.21136/CMJ.1968.100848]Search in Google Scholar
[[14] SHEN, L.—WU, J.: (2007) On the error-sum function of Lüroth series, J. Math. Anal. Appl. 329 no. 2, 1440–1445.]Search in Google Scholar
[[15] VERVAAT, W.: Success Epochs in Bernoulli Trials: with Applications to Number Theory, Math. Centre Tracts Vol. 42, Amsterdam, 1972. iii+166 pp, (loose errata).]Search in Google Scholar