A metric result on the pair correlation of fractional parts of sequences
Zeév Rudnick ; Alexandru Zaharescu
Acta Arithmetica, Tome 89 (1999), p. 283-293 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207271 
@article{bwmeta1.element.bwnjournal-article-aav89i3p283bwm,
     author = {Ze\'ev Rudnick and Alexandru Zaharescu},
     title = {A metric result on the pair correlation of fractional parts of sequences},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {283-293},
     zbl = {0961.11028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav89i3p283bwm}
}

Zeév Rudnick; Alexandru Zaharescu. A metric result on the pair correlation of fractional parts of sequences. Acta Arithmetica, Tome 89 (1999) pp. 283-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav89i3p283bwm/

[000] [1] H. Davenport, Analytic Methods for Diophantine Equations and Diophantine Inequalities, Ann Arbor Publ., Ann Arbor, Mich., 1962.

[001] [2] M. Drmota and R. F. Tichy, Sequences, Discrepancies and Applications, Lecture Notes in Math. 1651, Springer, Berlin, 1997.

[002] [3] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974. | Zbl 0281.10001

[003] [4] Z. Rudnick and P. Sarnak, The pair correlation function of fractional parts of polynomials, Comm. Math. Phys. 194 (1998), 61-70. | Zbl 0919.11052

[004] [5] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 313-352. | Zbl 46.0278.06