Computing partial information out of intractable: powers of algebraic numbers as an example (Q1048926)
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scientific article; zbMATH DE number 5654993
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing partial information out of intractable: powers of algebraic numbers as an example |
scientific article; zbMATH DE number 5654993 |
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Computing partial information out of intractable: powers of algebraic numbers as an example (English)
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8 January 2010
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The paper contains efficient algorithms for computing the leftmost digit in base 3 of the numbers \(2^n\) and the Fibonacci number \(F_n\). Using Baker's estimates on linear forms in logarithms, the authors prove that these two problems can be solved in polynomial time with respect to the length of \(n\).
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efficient computability
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Baker theory
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