Geodesic
Optimal bound for the discrepancies of lacunary sequences
Christoph Aistleitner1 ; Katusi Fukuyama2 ; Yukako Furuya2
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
Acta Arithmetica, Tome 158 (2013) no. 3, pp. 229-243

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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