An irrationality criterion for \(p\)-adic binomial series (Q2710125)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An irrationality criterion for \(p\)-adic binomial series |
scientific article |
Statements
19 April 2001
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irrationality
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\(p\)-adic binomial series
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irrationality measure
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fifth root of unity
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generalized Mahler theory
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An irrationality criterion for \(p\)-adic binomial series (English)
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The main result of this paper is an irrationality criterion for special \(p\)-adic binomial series. The irrationality measure for a certain fifth root of unity is also included. The proofs are based on the generalized Mahler theory and use Hensel's lemma and Padé approximation.NEWLINENEWLINEFor the entire collection see [Zbl 0959.00053].
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