A variation of the \(q\)-Wolstenholme theorem (Q2159768)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variation of the \(q\)-Wolstenholme theorem |
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A variation of the \(q\)-Wolstenholme theorem (English)
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2 August 2022
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The author investigated a variation of the \(q\)-Wolstenholme theorem, which extended the \(q\)-analogue of Wolstenholme's theorem due to Shi and Pan. The proof relies on the Ramanujan sum and higher-order logarithmic derivatives of cyclotomic polynomials and the result is related to Jordan totient function.
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Wolstenholme's theorem
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cyclotomic polynomial
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Jordan totient function
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