Zero sets of polynomials in several variables

Archiv der Mathematik

Volumn 86, Issue 6, 2006, Pages 561-568

  Aron, R M ^a   Hajek P ^b  

^a KENT STATE UNIVERSITY   (United States)

^b MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745294769     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-006-1314-9     Document Type: Article

References (19)

1. R. ARON, R. GONZALO and A. ZAGORODNYUK, Zeroes of real polynomials. Linear Multilinear Algebra 48(2), 107-115 (2000).
2. B. J. BIRCH, Homogeneous forms of odd degree in a large number of variables. Mathematika 4, 102-105 (1957).
3. A. DVORETZKY, Some results on convex bodies and Banach spaces. 1961 Proc. Internat. Sympos. Linear Spaces. (Jerusalem, 1960). 123-160 Jerusalem Academic Press. Jerusalem; Pergamon, Oxford.
4. W. J. ELLISON, Waring's problem. Amer. Math. Monthly 78, 10-36 (1971).
5. W. B. JOHNSON and J. LINDENSTRAUSS, eds., Handbook of the geometry of Banach spaces. Vol. 1(2), Elsevier (2001).
6. B. S. KASHIN and S. J. SZAREK, The Knaster problem and the geometry of high dimensional cubes. C.R. Acad. Sci. Paris. 336(11), 931-936 (2003).
7. p spaces. Banach Center Publ. 34, 79-87 (1995).
8. D. J. LEWIS, Cubic forms over algebraic number fields. Mathematika 4, 97-101 (1957).
9. N. G. LLOYD, Degree Theory. Cambridge Tracts in Mathematics 73, 1978.
10. Y. I. LYUBICH and L. N. VASERSTEIN, Isometric embeddings between classical Banach spaces, cubature formulas and spherical designs, Geom. Dedicata 47, 327-362 (1993).
11. V. V. MAKEEV, Spatial generalizations of certain theorems on convex figures. Math. Zametki 36, 405-415 (1984).
12. V. D. MILMAN, A few observations on the connections between local theory and some other fields. LNM 1317, 283-289 (1988).
13. B. REZNICK, Sums of even powers of linear forms. Mem. AMS 463 (1993).
14. W. RUDIN, Functional Analysis. McGraw-Hill 1973.
15. W. M. SCHMIDT, The density of integer points on homogeneous varieties. Acta Math. 154(3-4), 243-296 (1985).
16. J. J. SEIDEL, Isometric embeddings and geometric designs. Discrete Math. 136, 281-293 (1994).
17. T. D. WOOLEY, Linear spaces on cubic hypersurfaces, and pairs of homogeneous cubic equations. Bull. London Math. Soc. 29(5), 556-562 (1997).
18. T. D. WOOLEY, An explicit version of Birch's theorem. Acta Arith. 85(1), 79-96 (1998).
19. T. D. WOOLEY, Linear spaces on cubic hypersurfaces, and pairs of homogeneous cubic equations. Bull. London Math. Soc. 29(5), 556-562 (1997).