On the pair correlation for fractional parts of vector sequences

Florin P. Boca; Alexandru Zaharescu

doi:10.1007/PL00000523

On the pair correlation for fractional parts of vector sequences

Florin P. Boca, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the pair correlation for fractional parts of vector sequences and provide a sufficient condition for being poissonian. As a consequence, a large class of sequences of fractional parts of integer polynomials in several variables, lacunary integer sequences and linear combinations between them are shown to have poissonian pair correlation.

Original language	English (US)
Pages (from-to)	498-507
Number of pages	10
Journal	Archiv der Mathematik
Volume	77
Issue number	6
DOIs	https://doi.org/10.1007/PL00000523
State	Published - Dec 3 2001

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General Mathematics

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10.1007/PL00000523

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abstract = "We study the pair correlation for fractional parts of vector sequences and provide a sufficient condition for being poissonian. As a consequence, a large class of sequences of fractional parts of integer polynomials in several variables, lacunary integer sequences and linear combinations between them are shown to have poissonian pair correlation.",

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AU - Zaharescu, Alexandru

N1 - Funding Information: Work of the first author supported by an EPSRC Advanced Fellowship

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Y1 - 2001/12/3

N2 - We study the pair correlation for fractional parts of vector sequences and provide a sufficient condition for being poissonian. As a consequence, a large class of sequences of fractional parts of integer polynomials in several variables, lacunary integer sequences and linear combinations between them are shown to have poissonian pair correlation.

AB - We study the pair correlation for fractional parts of vector sequences and provide a sufficient condition for being poissonian. As a consequence, a large class of sequences of fractional parts of integer polynomials in several variables, lacunary integer sequences and linear combinations between them are shown to have poissonian pair correlation.

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On the pair correlation for fractional parts of vector sequences

Abstract

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