Products of members of Lucas sequences with indices in an interval being a power (Q999709)
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scientific article; zbMATH DE number 5505546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Products of members of Lucas sequences with indices in an interval being a power |
scientific article; zbMATH DE number 5505546 |
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Products of members of Lucas sequences with indices in an interval being a power (English)
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10 February 2009
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The authors consider some products of distinct members of a Lucas sequence. When there are sufficiently many terms in such a product with the indices in an interval of a fixed length then it cannot be a pure power. The Bilu-Hanrot-Voutier theorem plays an important role in the proofs.
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Lucas sequences
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pure powers
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