# A metric result on the pair correlation of fractional parts of sequences

Zeév Rudnick; Alexandru Zaharescu

Acta Arithmetica (1999)

- Volume: 89, Issue: 3, page 283-293
- ISSN: 0065-1036

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top## How to cite

topZeév Rudnick, and Alexandru Zaharescu. "A metric result on the pair correlation of fractional parts of sequences." Acta Arithmetica 89.3 (1999): 283-293. <http://eudml.org/doc/207271>.

@article{ZeévRudnick1999,

author = {Zeév Rudnick, Alexandru Zaharescu},

journal = {Acta Arithmetica},

keywords = {pair correlations; fractional parts; sequences; short intervals; lacunary sequences; Fourier analysis; exponential sums},

language = {eng},

number = {3},

pages = {283-293},

title = {A metric result on the pair correlation of fractional parts of sequences},

url = {http://eudml.org/doc/207271},

volume = {89},

year = {1999},

}

TY - JOUR

AU - Zeév Rudnick

AU - Alexandru Zaharescu

TI - A metric result on the pair correlation of fractional parts of sequences

JO - Acta Arithmetica

PY - 1999

VL - 89

IS - 3

SP - 283

EP - 293

LA - eng

KW - pair correlations; fractional parts; sequences; short intervals; lacunary sequences; Fourier analysis; exponential sums

UR - http://eudml.org/doc/207271

ER -

## References

top- [1] H. Davenport, Analytic Methods for Diophantine Equations and Diophantine Inequalities, Ann Arbor Publ., Ann Arbor, Mich., 1962.
- [2] M. Drmota and R. F. Tichy, Sequences, Discrepancies and Applications, Lecture Notes in Math. 1651, Springer, Berlin, 1997.
- [3] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974. Zbl0281.10001
- [4] Z. Rudnick and P. Sarnak, The pair correlation function of fractional parts of polynomials, Comm. Math. Phys. 194 (1998), 61-70. Zbl0919.11052
- [5] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 313-352. Zbl46.0278.06

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