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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Eingegangen am 21. 2. 2000
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Boca, F., Zaharescu, A. On the pair correlation for fractional parts of vector sequences. Arch. Math. 77, 498–507 (2001). https://doi.org/10.1007/PL00000523
- Linear Combination
- Large Class
- Pair Correlation
- Fractional Part
- Vector Sequence