Odd unimodular lattices of minimum~4 (Q2773327)
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scientific article; zbMATH DE number 1709918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Odd unimodular lattices of minimum~4 |
scientific article; zbMATH DE number 1709918 |
Statements
21 February 2002
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unimodular lattice
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shadow
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theta series
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Odd unimodular lattices of minimum~4 (English)
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\textit{J. H. Conway} and \textit{N. J. A. Sloane} [J. Number Theory 72, 357-362 (1998; Zbl 0917.11027)] have determined the largest minimum of an \(n\)-dimensional odd unimodular lattice up through \(n=33\). In particular they show that no minimum 4 lattice exists in dimension 33. This result is extended here to dimensions 34 and 35. In the proof the shadow of a lattice and theta series with spherical coefficients are used.
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