# Values of isotropic quadratic forms at $S$-integral points

Compositio Mathematica (1992)

- Volume: 83, Issue: 3, page 347-372
- ISSN: 0010-437X

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topBorel, Armand, and Prasad, Gopal. "Values of isotropic quadratic forms at $S$-integral points." Compositio Mathematica 83.3 (1992): 347-372. <http://eudml.org/doc/90173>.

@article{Borel1992,

author = {Borel, Armand, Prasad, Gopal},

journal = {Compositio Mathematica},

keywords = {minima of forms; density of values; orbit closures; generalization of Margulis' theorem; indefinite quadratic form; small values at integral points},

language = {eng},

number = {3},

pages = {347-372},

publisher = {Kluwer Academic Publishers},

title = {Values of isotropic quadratic forms at $S$-integral points},

url = {http://eudml.org/doc/90173},

volume = {83},

year = {1992},

}

TY - JOUR

AU - Borel, Armand

AU - Prasad, Gopal

TI - Values of isotropic quadratic forms at $S$-integral points

JO - Compositio Mathematica

PY - 1992

PB - Kluwer Academic Publishers

VL - 83

IS - 3

SP - 347

EP - 372

LA - eng

KW - minima of forms; density of values; orbit closures; generalization of Margulis' theorem; indefinite quadratic form; small values at integral points

UR - http://eudml.org/doc/90173

ER -

## References

top- [A] A. Ash: Non-square-integrable cohomology of arithmetic groups, Duke Math. J.47 (1980), 435-449. Zbl0446.20023MR575906
- [B] A. Borel: Linear Algebraic Groups, Benjamin, New York1969; 2nd edn., GTM126, Springer-Verlag1991. Zbl0186.33201MR1102012
- [BP] A. Borel et G. Prasad: Valeurs de formes quadratiques aux points entiers, C. R. Acad. Sci. Paris307 (1988), 217-220. Zbl0654.10022MR956809
- [D] S.G. Dani, A simple proof of Borel's density theorem, Math. Zeitschr.174 (1980), 81-94. Zbl0432.22008MR591617
- [DM] S.G. Dani and G.A. Margulis: Values of quadratic forms at primitive integral points, Inv. Math.98 (1989), 405-425. Zbl0682.22008MR1016271
- [M] G.A. Margulis: Discrete groups and ergodic theory, in Number Theory, Trace Formulas and Discrete Groups, Symposium in honor of A. Selberg, Oslo1987, Academic Press (1989), 377-398. Zbl0675.10010MR993328
- [P] V.P. Platonov: The problem of strong approximation and the Kneser-Tits conjecture, Math. USSR Izv.3 (1969), 1139-1147;Addendum, ibid.4(1970), 784-786. Zbl0236.20034
- [RR] S. Raghavan and K.G. Ramanathan: On a diophantine inequality concerning quadratic forms, Göttingen Nachr. Mat. Phys. Klasse (1968), 251-262. Zbl0214.06602MR263743
- [Rt] M. Ratner: Raghunathan's topological conjecture and distribution of unipotent flowsDuke Math. J.63 (1991), 235-280. Zbl0733.22007MR1106945
- [W] A. Weil, Adeles and algebraic groups, Progress in Mathematics23, Birkhäuser, Boston, 1982. Zbl0493.14028MR670072

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