Counting lattice points in pyramids (Q1893996)
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scientific article; zbMATH DE number 773919
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting lattice points in pyramids |
scientific article; zbMATH DE number 773919 |
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Counting lattice points in pyramids (English)
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1 February 1996
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The author considers the analogue of the theta function of a lattice when the Euclidean norm is replaced by the \(L_1\) norm; this is then called the nu function. For lattices obtained by one of Constructions A or B from binary codes, he expresses the nu function in terms of the Hamming weight enumerator. Finally the connection with enumerative combinatorics is pointed out.
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counting lattice points
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code lattice
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nu function
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enumerative combinatorics
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