Singular matrices and a uniform bound for congruence groups of $SL_n(\mathbf{Z})$
Y. R. Katznelson
Source: Duke Math. J. Volume 69, Number 1
(1993), 121-136.
First Page:
Show
Hide
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/1077293427
Mathematical Reviews number (MathSciNet): MR1201694
Zentralblatt MATH identifier: 0785.11050
Digital Object Identifier: doi:10.1215/S0012-7094-93-06906-2
References
[Bir] B. Birch, Forms in many variables, Proc. Roy. Soc. Ser. A 265 (1961/62), 245–263.
Mathematical Reviews (MathSciNet): MR27:132
Zentralblatt MATH: 0103.03102
[DRS] W. Duke, Z. Rudnick, and P. Sarnak, The density of integer points on affine homogeneous varieties, preprint, 1990.
Mathematical Reviews (MathSciNet): MR1230289
Zentralblatt MATH: 0798.11024
Digital Object Identifier: doi:10.1215/S0012-7094-93-07107-4
Project Euclid: euclid.dmj/1077289840
[IS] H. Iwaniec and J. Szmidt, Density theorems for exceptional eigenvalues of the Laplacian for congruence groups, Elementary and Analytic Theory of Numbers (Warsaw, 1982), Banach Center Publ., vol. 17, PWN, Warsaw, 1985, pp. 317–331.
Mathematical Reviews (MathSciNet): MR88d:11053
Zentralblatt MATH: 0589.10025
[Kat] Y. Katznelson, Asymptotics for singular integral matrices and applications, Ph.D. thesis, Stanford Univ., 1991.
[Lng] S. Lang, Algebraic Number Theory, Graduate Texts in Math., vol. 110, Springer-Verlag, New York, 1986.
Zentralblatt MATH: 0601.12001
Mathematical Reviews (MathSciNet): MR1282723
[SX] P. Sarnak and X. Xue, Bounds for multiplicities of representations, preprint, 1991.
Mathematical Reviews (MathSciNet): MR1131400
Zentralblatt MATH: 0741.22010
Digital Object Identifier: doi:10.1215/S0012-7094-91-06410-0
Project Euclid: euclid.dmj/1077295393
[Sc1] W. Schmidt, Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height, Duke Math. J. 35 (1968), 327–339.
Mathematical Reviews (MathSciNet): MR37:161
Zentralblatt MATH: 0172.06304
Digital Object Identifier: doi:10.1215/S0012-7094-68-03532-1
Project Euclid: euclid.dmj/1077377618
[Sc2] W. Schmidt, The density of integer points on homogeneous varieties, Acta Math. 154 (1985), no. 3-4, 243–296.
Mathematical Reviews (MathSciNet): MR86h:11027
Zentralblatt MATH: 0561.10010
Digital Object Identifier: doi:10.1007/BF02392473
[Sgl] C. L. Siegel, Lectures on the Geometry of Numbers, Springer-Verlag, Berlin, 1989.
Mathematical Reviews (MathSciNet): MR91d:11070
Zentralblatt MATH: 0691.10021
Duke Mathematical Journal
