Regularity of a function related to the 2-adic logarithm (Q550448)
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scientific article; zbMATH DE number 5919211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of a function related to the 2-adic logarithm |
scientific article; zbMATH DE number 5919211 |
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Regularity of a function related to the 2-adic logarithm (English)
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11 July 2011
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The author answers a question of J. Shallit and the reviewer by proving that the sequence \((f(n))_n\), where \(f(n)= \min_{k\geq n} (k- v_2(k))\), is not 2-regular. Actually, even more is proved: The sequences \(n\to f(2^kn)\) are \(\mathbb{Q}\)-linearly independent.
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2-regular sequences
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2-adic valuation
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linear independence over \(\mathbb{Q}\)
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