Geodesic
Optimal bound for the discrepancies of lacunary sequences
Christoph Aistleitner1 ; Katusi Fukuyama2 ; Yukako Furuya2
1Institute of Mathematics A Graz University of Technology Steyrergasse 30 8010 Graz, Austria
2Department of Mathematics Kobe University Rokko, Kobe, 657-8501 Japan
Acta Arithmetica, Tome 158 (2013) no. 3, pp. 229-243
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The law of the iterated logarithm for discrepancies of lacunary sequences is studied. An optimal bound is given under a very mild Diophantine type condition.
DOI : 10.4064/aa158-3-3
Keywords: law iterated logarithm discrepancies lacunary sequences studied optimal bound given under mild diophantine type condition

Christoph Aistleitner  1   ; Katusi Fukuyama  2   ; Yukako Furuya  2

1 Institute of Mathematics A Graz University of Technology Steyrergasse 30 8010 Graz, Austria
2 Department of Mathematics Kobe University Rokko, Kobe, 657-8501 Japan 
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Christoph Aistleitner; Katusi Fukuyama; Yukako Furuya. Optimal bound for the discrepancies of lacunary sequences. Acta Arithmetica, Tome 158 (2013) no. 3, pp. 229-243. doi: 10.4064/aa158-3-3

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