Three-term relations for Hardy sums (Q1083468)
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scientific article; zbMATH DE number 3975010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-term relations for Hardy sums |
scientific article; zbMATH DE number 3975010 |
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Three-term relations for Hardy sums (English)
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1987
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The authors prove a general summation formula by extending to three dimensions the well-known idea of Eisenstein for counting the lattice points in a rectangle. From this formula they deduce a three-term relation for polynomials. Then, using this relation, they give elementary proofs of all the three-term and mixed three-term relations for Hardy sums given by \textit{L. A. Goldberg} in his 1981 thesis (University of Illinois, Urbana).
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Dedekind sums
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summation formula
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lattice points
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three-term relation for polynomials
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mixed three-term relations for Hardy sums
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