The distribution of spacings between the fractional parts of n 2 α

@inproceedings{Rudnick2001TheDO,
  title={The distribution of spacings between the fractional parts of n 2 α},
  author={Ze{\'e}v Rudnick and Peter Sarnak and Alexandru Zaharescu},
  year={2001}
}
Zeév Rudnick1, , Peter Sarnak2, , Alexandru Zaharescu3 1 Raymond and Beverly Sackler School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel (e-mail: rudnick@post.tau.ac.il) 2 Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ, 08544, USA (e-mail: sarnak@math.princeton.edu) 3 Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801, USA (e-mail: zaharesc@math.uiuc.edu) 
Highly Cited
This paper has 22 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 17 references

On the linear independence of fractional powers of integers

A. S. Besicovitch
J. London Math. Soc • 1940
View 2 Excerpts
Highly Influenced

On character sums in finite fields

H. Davenport
Acta Math • 1939
View 3 Excerpts
Highly Influenced

On the distribution of quadratic residues (mod p)

H. Davenport
Jour. London Math. Soc • 1931
View 3 Excerpts
Highly Influenced

The distribution of spacings between quadratic residues

P. Kurlberg, Z. Rudnick
Duke Math. Jour • 1999
View 1 Excerpt

The pair correlation function of fractional parts of polynomials

Z. Rudnick, P. Sarnak
Comm. in Math. Physics • 1998
View 1 Excerpt

Partie sans facteur carre de F(a, b) (modulo la conjecture abc)

M. Langevin
Seminaire de Theorie des Nombres (1993–1994), • 1994
View 2 Excerpts

ABC implies Mordell

N. Elkies
Internat. Math. Res. Notices 1991, • 1991
View 2 Excerpts

Izrailev, Statistical properties of the quasi-energy spectrum of a simple integrable system

G. Casati, F.M.I. Guarneri
Phys. Lett. A • 1987
View 2 Excerpts

Statistical properties of the quasienergy spectrum of a simple integrable system

I. Guarneri G. Casati, F. M. Izrailev
Phys . Lett . A • 1987

Similar Papers

Loading similar papers…