Universal binary positive definite Hermitian lattices (Q5928719)
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scientific article; zbMATH DE number 1583414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal binary positive definite Hermitian lattices |
scientific article; zbMATH DE number 1583414 |
Statements
Universal binary positive definite Hermitian lattices (English)
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1 April 2001
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The author determines all universal integral lattices on binary positive definite Hermitian spaces over arbitrary imaginary quadratic fields, thus extending the earlier research by \textit{A. G. Earnest} and \textit{A. Khosravani} [J. Number Theory 62, 368-374 (1977; Zbl 0871.11028)], who handled the case of imaginary quadratic fields with class number~1.
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quadratic forms
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Hermitian forms
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integral lattices
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imaginary quadratic fields
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