ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Raymond and Beverly Sackler School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
  2. Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Sherbrooke Street West, Montreal, Quebec, Canada, H3A-2K6

Bibliography

  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.
Pages:
283-293
Main language of publication
English
Received
1998-10-23
Accepted
1999-02-16
Published
1999
Exact and natural sciences