Optimal bound for the discrepancies of lacunary sequences
Christoph Aistleitner ; Katusi Fukuyama ; Yukako Furuya
Acta Arithmetica, Tome 161 (2013), p. 229-243 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:279192 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa158-3-3,
     author = {Christoph Aistleitner and Katusi Fukuyama and Yukako Furuya},
     title = {Optimal bound for the discrepancies of lacunary sequences},
     journal = {Acta Arithmetica},
     volume = {161},
     year = {2013},
     pages = {229-243},
     zbl = {1286.11119},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa158-3-3}
}

Christoph Aistleitner; Katusi Fukuyama; Yukako Furuya. Optimal bound for the discrepancies of lacunary sequences. Acta Arithmetica, Tome 161 (2013) pp. 229-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa158-3-3/