Hermitian lattices without a basis of minimal vectors
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- by Byeong Moon Kim and Poo-Sung Park PDF
- Proc. Amer. Math. Soc. 136 (2008), 3041-3044 Request permission
Abstract:
It is shown that over infinitely many imaginary quadratic fields there exists a Hermitian lattice in all even ranks $n \ge 2$ which is generated by its $4n$ minimal vectors but which is not generated by $2n-1$ minimal vectors.References
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- P. Erdös, Arithmetical properties of polynomials, J. London Math. Soc. 28 (1953), 416–425. MR 56635, DOI 10.1112/jlms/s1-28.4.416
- Byeong Moon Kim, Universal octonary diagonal forms over some real quadratic fields, Comment. Math. Helv. 75 (2000), no. 3, 410–414. MR 1793795, DOI 10.1007/s000140050133
Additional Information
- Byeong Moon Kim
- Affiliation: Department of Mathematics, Kangnung National University, Kangnung, Korea
- Email: kbm@kangnung.ac.kr
- Poo-Sung Park
- Affiliation: Korea Institute for Advanced Study, Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, 130-722, Korea
- Email: sung@kias.re.kr
- Received by editor(s): July 6, 2007
- Published electronically: April 17, 2008
- Additional Notes: The second author was partially supported by KRF(2003-070-c00001)
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3041-3044
- MSC (2000): Primary 11E39; Secondary 11H50
- DOI: https://doi.org/10.1090/S0002-9939-08-09326-X
- MathSciNet review: 2407065