Optimal bound for the discrepancies of lacunary sequences
Christoph Aistleitner; Katusi Fukuyama; Yukako Furuya
Acta Arithmetica (2013)
- Volume: 158, Issue: 3, page 229-243
- ISSN: 0065-1036
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topChristoph Aistleitner, Katusi Fukuyama, and Yukako Furuya. "Optimal bound for the discrepancies of lacunary sequences." Acta Arithmetica 158.3 (2013): 229-243. <http://eudml.org/doc/279192>.
@article{ChristophAistleitner2013,
abstract = {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.},
author = {Christoph Aistleitner, Katusi Fukuyama, Yukako Furuya},
journal = {Acta Arithmetica},
keywords = {law of the iterated logarithm; discrepancy; lacunary sequence},
language = {eng},
number = {3},
pages = {229-243},
title = {Optimal bound for the discrepancies of lacunary sequences},
url = {http://eudml.org/doc/279192},
volume = {158},
year = {2013},
}
TY - JOUR
AU - Christoph Aistleitner
AU - Katusi Fukuyama
AU - Yukako Furuya
TI - Optimal bound for the discrepancies of lacunary sequences
JO - Acta Arithmetica
PY - 2013
VL - 158
IS - 3
SP - 229
EP - 243
AB - 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.
LA - eng
KW - law of the iterated logarithm; discrepancy; lacunary sequence
UR - http://eudml.org/doc/279192
ER -
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