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Real quadratic fields admitting universal lattices of rank 7

Author(s)
Kim, Byeong MoonKim, Myung-HwanPark, Dayoon
Issued Date
2022-04
DOI
10.1016/j.jnt.2021.06.018
URI
https://scholarworks.unist.ac.kr/handle/201301/58693
Fulltext
https://www.sciencedirect.com/science/article/pii/S0022314X21002195?via%3Dihub
Citation
JOURNAL OF NUMBER THEORY, v.233, pp.456 - 466
Abstract
In this paper, we prove that if d is sufficiently large square free positive rational integer, then there is no positive definite & RADIC; universal quadratic O-F-lattice of rank 7 where F = Q(root d). (C)& nbsp;2021 Elsevier Inc. All rights reserved.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN
0022-314X
Keyword (Author)
Quadratic form over real number fieldReal quadratic number field
Keyword
FORMS

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