Duke Mathematical Journal
previous :: next

Pair correlation of four-dimensional flat tori

Jeffrey M. VanderKam
Source: Duke Math. J. Volume 97, Number 2 (1999), 413-438.
First Page: Show Hide
Primary Subjects: 11E76
Secondary Subjects: 11D57, 58J50
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228655
Mathematical Reviews number (MathSciNet): MR1682225
Zentralblatt MATH identifier: 0965.11017
Digital Object Identifier: doi:10.1215/S0012-7094-99-09717-X

References

[1] M. Berry and M. Tabor, Level clustering in the regular spectrum, Proc. Roy. Soc. London Ser. A 356 (1977), 375–394.
[2] Alex Eskin, Gregory Margulis, and Shahar Mozes, Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture, Ann. of Math. (2) 147 (1998), no. 1, 93–141.
Mathematical Reviews (MathSciNet): MR99a:11043
Zentralblatt MATH: 0906.11035
Digital Object Identifier: doi:10.2307/120984
[3] G. A. Margulis, Discrete subgroups and ergodic theory, Number theory, trace formulas and discrete groups (Oslo, 1987), Academic Press, Boston, MA, 1989, pp. 377–398.
Mathematical Reviews (MathSciNet): MR90k:22013a
Zentralblatt MATH: 0675.10010
[4] Yiannis N. Petridis, On differences of eigenvalues for flat tori and hyperbolic surfaces, Geometry of the spectrum (Seattle, WA, 1993), Contemp. Math., vol. 173, Amer. Math. Soc., Providence, RI, 1994, pp. 241–256.
Mathematical Reviews (MathSciNet): MR95g:58249
Zentralblatt MATH: 0824.58048
[5] Peter Sarnak, Values at integers of binary quadratic forms, Harmonic analysis and number theory (Montreal, PQ, 1996), CMS Conf. Proc., vol. 21, Amer. Math. Soc., Providence, RI, 1997, pp. 181–203.
Mathematical Reviews (MathSciNet): MR98j:11024
Zentralblatt MATH: 0911.11032
[6] Jeffrey M. Vanderkam, Values at integers of homogeneous polynomials, Duke Math. J. 97 (1999), no. 2, 379–412.
Mathematical Reviews (MathSciNet): MR2000i:11062a
Zentralblatt MATH: 0965.11016
previous :: next

2012 © Duke University Press

Duke Mathematical Journal

Duke Mathematical Journal

Turn MathJax Off
What is MathJax?