• norsk
    • English
  • English 
    • norsk
    • English
  • Login
View Item 
  •   Home
  • Øvrige samlinger
  • Publikasjoner fra CRIStin - NTNU
  • View Item
  •   Home
  • Øvrige samlinger
  • Publikasjoner fra CRIStin - NTNU
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Helson's problem for sums of a random multiplicative function

Seip, Kristian; Bondarenko, Andriy
Journal article, Peer reviewed
Thumbnail
View/Open
Bondarenko_Seip_Mathematika.pdf (210.6Kb)
URI
http://hdl.handle.net/11250/2392701
Date
2016-10-21
Metadata
Show full item record
Collections
  • Institutt for matematiske fag [1393]
  • Publikasjoner fra CRIStin - NTNU [19736]
Original version
Mathematika 2016, 62:101-110   10.1112/S0025579315000236
Abstract
We consider the random functions $S_{N}(z):=\sum _{n=1}^{N}z(n)$SN(z):=∑Nn=1z(n), where $z(n)$z(n) is the completely multiplicative random function generated by independent Steinhaus variables $z(p)$z(p). It is shown that $\mathbb{E}|S_{N}|\gg \sqrt{N}(\log N)^{-0.05616}$E|SN|≫N−−√(logN)−0.05616 and that $(\mathbb{E}|S_{N}|^{q})^{1/q}\gg _{q}\sqrt{N}(\log N)^{-0.07672}$(E|SN|q)1/q≫qN−−√(logN)−0.07672 for all $q>0$q>0
Publisher
University College London, Faculty of Mathematical and Physical Sciences, Department of Mathematics
Journal
Mathematika

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit
 

 

Browse

ArchiveCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDocument TypesJournalsThis CollectionBy Issue DateAuthorsTitlesSubjectsDocument TypesJournals

My Account

Login

Statistics

View Usage Statistics

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit