caa a22 4500 445869100 CHVBK 20180317145506.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00605-009-0185-0 doi (NATIONALLICENCE)springer-10.1007/s00605-009-0185-0 Fukuyama Katusi Department of Mathematics, Kobe University, Rokko, 657-8501, Kobe, Japan aut A metric discrepancy result for a lacunary sequence with small gaps [Elektronische Daten] [Katusi Fukuyama] For any $${G(k) \uparrow \infty}$$ , there exists a sequence {n k} of integers with 1 ≤ n k+1 − n k ≤ G(k) such that the discrepancies of {n k x} obey the law of the iterated logarithm in the same way as uniform distributed i.i.d. Springer-Verlag, 2009 Lacunary series nationallicence Discrepancy nationallicence Monatshefte für Mathematik Springer Vienna 162/3(2011-03-01), 277-288 0026-9255 162:3<277 2011 162 605 https://doi.org/10.1007/s00605-009-0185-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-009-0185-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fukuyama Katusi Department of Mathematics, Kobe University, Rokko, 657-8501, Kobe, Japan aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 162/3(2011-03-01), 277-288 0026-9255 162:3<277 2011 162 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer