Derived sequences, the Tribonacci recurrence and cubic forms (Q2719871)
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scientific article; zbMATH DE number 1610390
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derived sequences, the Tribonacci recurrence and cubic forms |
scientific article; zbMATH DE number 1610390 |
Statements
13 December 2002
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integer representations
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Tribonacci recurrences
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cubic forms
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Derived sequences, the Tribonacci recurrence and cubic forms (English)
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Integer representations by forms are sources of very interesting Diophantine equations and are discussed here by a cubic form associated with a third-order recurrence known as the Tribonacci recurrence; i.e., \(T_{n+3} = T_{n+2} + T_{n+1} + T_n\). The main properties of the Tribonacci recurrence and the Tribonacci ring are studied. Then the integer representation problem for the Tribonacci cubic form is fully solved.
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