Hans-Gill, R. J. ; Raka, Madhu (1979) An asymmetric inequality for non-homogeneous ternary quadratic forms Monatshefte fur Mathematik, 87 (4). pp. 281-295. ISSN 0026-9255
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Official URL: http://www.springerlink.com/content/p120795160p650...
Related URL: http://dx.doi.org/10.1007/BF01637031
Abstract
Let Q(x,y,z) be an indefinite ternary quadratic form of type (2,1) and determinant D(<0). let="">≤t≤1/3 and f(t)=4/(1+t)2(1+5t) . Then given any real numbersx 0,y 0,z 0 there exist integers x,y,z satisfying -t(f(t)D)1/3 < Q(x+x0,y+y0,z+z0) ≤ (f(t) |D|)1/3 All the cases when equality holds are also obtained.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Springer-Verlag. |
| ID Code: | 12282 |
| Deposited On: | 10 Nov 2010 05:11 |
| Last Modified: | 03 Jun 2011 06:31 |
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