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

Acta Arithmetica

Volumn 89, Issue 3, 1999, Pages 283-293

  Rudnick, Zeév ^a   Zaharescu, Alexandru ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001164635     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-89-3-283-293     Document Type: Article

References (5)

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.
4. Z. Rudnick and P. Sarnak, The pair correlation function of fractional parts of polynomials, Comm. Math. Phys. 194 (1998), 61-70.
5. H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 313-352.