| Title:
|
Quaternary quadratic forms and an associated lattice constant (English) |
| Author:
|
Jackson, Terence |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
10 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
43-48 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11H16 |
| MSC:
|
11H50 |
| idZBL:
|
Zbl 1051.11032 |
| idMR:
|
MR1943022 |
| . |
| Date available:
|
2009-01-30T09:09:20Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120584 |
| . |
| Reference:
|
[1] J. W. S. Cassels: An introduction to the geometry of numbers.Springer, 1971. Zbl 0209.34401, MR 0306130 |
| Reference:
|
[2] S. G. Dani, G. A. Margulis, V: alues of quadratic forms at integral points: an elementary approach.Enseign. Math. (2) 36 (1990), 143-174. MR 1071418 |
| Reference:
|
[3] T. H. Jackson: Small positive values of indefinite binary quadratic forms.J. London Math. Soc. 43 (1968) 730-738. Zbl 0164.05204, MR 0228432, 10.1112/jlms/s1-43.1.730 |
| Reference:
|
[4] T. H. Jackson: One-sided inequalities for ternary forms I.J. Number Theory 13 (1981), 376-397. Zbl 0472.10026, MR 0634207, 10.1016/0022-314X(81)90022-6 |
| Reference:
|
[5] T. H. Jackson: One-sided inequalities for ternary forms II.J. Number Theory 16 (1983), 333-342. Zbl 0514.10025, MR 0707606, 10.1016/0022-314X(83)90061-6 |
| Reference:
|
[6] T. H. Jackson: Small positive values of indefinite ternary forms.Mathematika - to appear. Zbl 1051.11033, MR 2059053 |
| Reference:
|
[7] K. Mahler: A theorem of B. Segre.Duke Math. J. 12 (1945), 367-371. Zbl 0060.11808, MR 0012097, 10.1215/S0012-7094-45-01230-0 |
| Reference:
|
[8] A. Oppenheim: Minima of indefinite quaternary quadratic forms.Ann. Math. 32 (1931), 271-298. Zbl 0002.18002, MR 1502997, 10.2307/1968191 |
| Reference:
|
[9] A. Oppenheim: Values of quadratic forms I.Quart. J. Math. Oxford Ser. 2 4 (1953), 54-59. Zbl 0050.27302, MR 0054650, 10.1093/qmath/4.1.54 |
| Reference:
|
[10] B. Segre: Lattice points in infinite domains and asymmetric Diophantine approximations.Duke Math. J. 12 (1945), 337-365. Zbl 0060.11807, MR 0012096 |
| Reference:
|
[11] G. L. Watson: Integral Quadratic Forms.Cambridge University Press, 1960. Zbl 0090.03103, MR 0118704 |
| Reference:
|
[12] R. T. Worley: Non-negative values of quadratic forms.J. Austral. Math. Soc. 12 (1971), 224- 238. Zbl 0218.10037, MR 0292754, 10.1017/S1446788700009484 |
| . |
