Problems of figurate numbers (Q2857899)
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scientific article; zbMATH DE number 6229086
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Problems of figurate numbers |
scientific article; zbMATH DE number 6229086 |
Statements
19 November 2013
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triangular
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tetrahedral
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pyramidal numbers
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Fibonacci numbers
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Problems of figurate numbers (English)
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This is a conference report surveying results on Diophantine equations involving triangular (\(t_n\)), tetrahedral (\(T_n\)), pyramidal (\(P_n\)) and Fibonacci (\(F_n\)) numbers. The authors state known descriptions of complete solutions of the Diophantine equations (1) \(P_x = y^2\), (2) \(t_x = P_y\), (3) \(T_x = t_y\), (4) \(F_x = t_y\), and (5) \(F_x = y^2\). Each of these has only finitely many solutions (at most five) given explicitly. No proofs are given.
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