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math.NT2021
The rank of new regular quadratic forms
Mingyu Kim, Byeong-Kweon Oh
A (positive definite and integral) quadratic form is called regular if it represents all integers that are locally represented. It is known that there are only finitely many re…
math.NT2021
Isolations of cubic lattices from their proper sublattices
Byeong-Kweon Oh
A (positive definite and integral) quadratic form is called {\it an isolation} of a quadratic form if it represents all subforms of except for itself. The minimum rank…
math.NT2021
Tight universal quadratic forms
Mingyu Kim, Byeong-Kweon Oh
For a positive integer , let be the set of all integers greater than or equal to . An integral quadratic form is called tight -universal if…