A \(p\)-adic property of the Taylor series of \(\exp (x+x^p/p)\) (Q1288003)
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scientific article; zbMATH DE number 1292204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A \(p\)-adic property of the Taylor series of \(\exp (x+x^p/p)\) |
scientific article; zbMATH DE number 1292204 |
Statements
A \(p\)-adic property of the Taylor series of \(\exp (x+x^p/p)\) (English)
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18 July 1999
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Let \(\{ a_n\}\) be the sequence of the Taylor coefficients of the function \(\exp (x+x^p/p)\). Under a certain assumption regarding a prime number \(p\), which is shown to be satisfied for any \(p\leq 23\), the author finds an estimate for the \(p\)-adic absolute value \(|a_n|_p\).
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\(p\)-adic absolute value
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exponential function
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Taylor coefficients
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