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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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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