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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

On mean values of the $ L_q$-discrepancies of point distributions


Author: M. M. Skriganov
Translated by: the author
Original publication: Algebra i Analiz, tom 24 (2012), nomer 6.
Journal: St. Petersburg Math. J. 24 (2013), 991-1012
MSC (2010): Primary 11K38
Published electronically: September 23, 2013
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Abstract: The study of lacunarity and statistical independence of functional series is continued in the context of the theory of uniformly distributed point sets in the unit cube.


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Additional Information

M. M. Skriganov
Affiliation: St. Petersburg Branch Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia
Email: maksim88138813@mail.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-2013-01276-3
PII: S 1061-0022(2013)01276-3
Keywords: Uniform distributions, lacunary series, coding theory
Received by editor(s): December 20, 2011
Published electronically: September 23, 2013
Additional Notes: Partially supported by RFBR (project no. 08-01-00182).
Dedicated: In memory of Vladimir Savel′evich Buslaev
Article copyright: © Copyright 2013 American Mathematical Society