1-Universal binary and ternary Hermitian lattices over imaginary quadratic fields
| Autor: | Jiyoung Kim, Byeong Moon Kim |
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| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Unary operation High Energy Physics::Lattice 010102 general mathematics Binary number 0102 computer and information sciences Positive-definite matrix 01 natural sciences Hermitian matrix Quadratic equation Number theory 010201 computation theory & mathematics Lattice (order) Mathematics::Differential Geometry 0101 mathematics Ternary operation Mathematics |
| Zdroj: | The Ramanujan Journal. 55:673-696 |
| ISSN: | 1572-9303 1382-4090 |
| Popis: | A positive definite Hermitian lattice is said to be 1-universal if it represents all positive definite unary Hermitian lattices, including both free and non-free Hermitian lattices. This paper is more concerned with the representations of unary non-free Hermitian lattices by Hermitian lattices. We estimate the minimal rank $$u_m^1$$ of 1-universal Hermitian lattices and we classify all 1-universal binary and ternary Hermitian lattices over imaginary quadratic fields $$\mathbb {Q}(\sqrt{-m})$$ for all positive square-free integers m. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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