|
A few uncaught universal Hermitian forms
Author(s):
Jae-Heon
Kim;
Poo-Sung
Park
Journal:
Proc. Amer. Math. Soc.
135
(2007),
47-49.
MSC (2000):
Primary 11E39;
Secondary 11E20, 11E41
Posted:
June 30, 2006
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
We will complete the list of universal binary Hermitian forms over imaginary quadratic fields by investigating three Hermitian forms missed by previous researchers.
References:
-
- 1.
- A. G. Earnest and A. Khosravani,
Universal binary Hermitian forms,
Math. Comp. 66 (1997), pp.1161-1168. MR 1422787 (98a:11048) - 2.
- H. Iwabuchi,
Universal binary positive definite Hermitian lattices,
Rocky Mountain J. Math. 30 (2000), no. 3, pp.951-959.MR 1797825 (2002c:11043) - 3.
- N. Jacobson,
A note on hermitian forms,
Bull. Amer. Math. Soc. 46 (1940), pp.264-268. MR 0001957 (1:325d) - 4.
- J. L. Lagrange,
Démonstration d'un théorème d'arithmétique,
 uvres 3 (1770), pp.189-201. - 5.
- G. L. Nipp,
Quaternary quadratic forms: computer generated tables,
Spinger-Verlag, New York, 1991. MR 1118842 (92h:11030) - 6.
- O. T. O'Meara,
Introduction to quadratic forms,
Spinger-Verlag, New York, 1973. MR 1754311 (2000m:11032) - 7.
- S. Ramanujan,
On the expression of a number in the form  ,
Proc. Cambridge Phil. Soc. 19 (1917), pp.11-21.
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
11E39,
11E20, 11E41
Retrieve articles in all Journals with MSC
(2000):
11E39,
11E20, 11E41
Additional Information:
Jae-Heon
Kim
Affiliation:
National Security Research Institute, 161 Gajeong-dong Yuseong-gu, Daejeon, 305-350, Korea
Email:
jaeheon@etri.re.kr
Poo-Sung
Park
Affiliation:
Department of Mathematical Sciences, Seoul National University, San 56-1 Shillim-dong Gwanak-gu, Seoul, 151-747, Korea
Email:
sung@math.snu.ac.kr
DOI:
10.1090/S0002-9939-06-08457-7
PII:
S 0002-9939(06)08457-7
Keywords:
Universal Hermitian form
Received by editor(s):
March 25, 2005
Received by editor(s) in revised form:
July 5, 2005 and August 9, 2005
Posted:
June 30, 2006
Additional Notes:
The second author was partially supported by KRF(2003-070-c00001)
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
Comments: webmaster@ams.org