Zobrazeno 1 - 10
of 744
pro vyhledávání: '"Oh, Byeong"'
Autor:
Oh, Byeong-Kweon, Yoon, Jongheun
For a positive integer $m$, a (positive definite integral) quadratic form is called primitively $m$-universal if it primitively represents all quadratic forms of rank $m$. It was proved in arXiv:2202.13573 that there are exactly $107$ equivalence cla
Externí odkaz:
http://arxiv.org/abs/2309.01061
For a (positive definite and integral) quadratic form $f$, a quadratic form is said to be {\it an isolation of $f$ from its proper subforms} if it represents all proper subforms of $f$, but not $f$ itself. It was proved that the minimal rank of isola
Externí odkaz:
http://arxiv.org/abs/2308.04720
Autor:
Oh, Byeong-Kweon, Yoon, Jongheun
Publikováno v:
In Journal of Number Theory November 2024 264:148-183
A (positive definite and integral) quadratic form $f$ is said to be $\textit{universal}$ if it represents all positive integers, and is said to be $\textit{primitively universal}$ if it represents all positive integers primitively. We also say $f$ is
Externí odkaz:
http://arxiv.org/abs/2202.13573
Autor:
Chan, Wai Kiu, Oh, Byeong-Kweon
Let $\mathfrak o$ be the ring of integers of a totally real number field. If $f$ is a quadratic form over $\mathfrak o$ and $g$ is another quadratic form over $\mathfrak o$ which represents all proper subforms of $f$, does $g$ represent $f$? We show
Externí odkaz:
http://arxiv.org/abs/2201.08957
Autor:
Jeong, Sang-Won1,2 (AUTHOR) jkw4005@naver.com, Oh, Byeong Il1,2 (AUTHOR) obi99@naver.com, Chang, Eun Seo1,2 (AUTHOR) aglada@kangwon.ac.kr, Park, Jeong-Ann3,4 (AUTHOR) pjaan@kangwon.ac.kr, Kim, Hyun-Kyung1,2 (AUTHOR) pjaan@kangwon.ac.kr
Publikováno v:
Materials (1996-1944). Sep2024, Vol. 17 Issue 17, p4300. 11p.
Autor:
Kim, Mingyu, Oh, Byeong-Kweon
A (positive definite and integral) quadratic form $f$ is called regular if it represents all integers that are locally represented. It is known that there are only finitely many regular ternary quadratic forms up to isometry. However, there are infin
Externí odkaz:
http://arxiv.org/abs/2111.10324
Publikováno v:
In International Journal of Electrical Power and Energy Systems June 2024 157
Autor:
Cho, Na Young, Jang, Ji Won, Oh, Byeong M., Seok, Gyeong Eun, Seo, Haewoon, Kim, Sang-Wook, Kim, Jincheol, Kim, Eunsu, Kim, Eunha, Choi, Hyosung, Lee, Bo Ram, Choi, Jin Woo, Kim, Jong H.
Publikováno v:
In Chemical Engineering Journal 1 April 2024 485
Autor:
Oh, Byeong-Kweon
A (positive definite and integral) quadratic form is called {\it an isolation} of a quadratic form $f$ if it represents all subforms of $f$ except for $f$ itself. The minimum rank of isolations of a quadratic form $f$ is denoted, if it exists, by $\t
Externí odkaz:
http://arxiv.org/abs/2104.04308