Integer matrices, sublattices of \(\mathbb Z^m\), and Frobenius numbers (Q889030)
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scientific article; zbMATH DE number 6505115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integer matrices, sublattices of \(\mathbb Z^m\), and Frobenius numbers |
scientific article; zbMATH DE number 6505115 |
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Integer matrices, sublattices of \(\mathbb Z^m\), and Frobenius numbers (English)
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6 November 2015
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The paper under review contains new fundamental results on the distribution of random integer matrices and lattices. In particular the author gives applications of his results in Diophantine Frobenius problem. It was proved by \textit{J. Marklof} [Invent. Math. 181, No. 1, 179--207 (2010; Zbl 1200.11022)] that Frobenius have limiting density function. The present paper gives new bounds for the tail of this function.
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distribution of lattices
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geometry of numbers
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Frobenius numbers
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