Complete uniform distribution of some oscillating sequences

D. Berend, G. Kolesnik

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Our main result is that the sequence (P(n) cos nα), n = 1, 2, ⋯, is completely uniformly distributed modulo 1 for any non-constant polynomial P and α with cos α transcendental. It follows as a very special case of our results that, if λ is a Salem number of degree 4, then the sequence (nλn)n=0 is uniformly distributed modulo 1.

Original languageEnglish
Pages (from-to)127-144
Number of pages18
JournalJournal of the Ramanujan Mathematical Society
Issue number2
StatePublished - 1 Jun 2011

ASJC Scopus subject areas

  • General Mathematics


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