On the asymptotic behavior of Sudler products along subsequences (Q2102126)
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scientific article; zbMATH DE number 7624133
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic behavior of Sudler products along subsequences |
scientific article; zbMATH DE number 7624133 |
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On the asymptotic behavior of Sudler products along subsequences (English)
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28 November 2022
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This paper establishes the asymptotic behaviour of sequences of certain Sudler products \((P_N(\alpha))_{N\in N}\) with \(P_N(\alpha)=\prod_{r=1}^N|2\sin(\pi r\alpha)|\). The author generalizeds interesting upper and lower bounds for the growth of these subsequences and convergence results. The works of authors are highly appreciable and useful for further research, to improve literature and application prospect.
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trigonometric product
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continued fraction
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Kronecker sequence
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Ostrowski representation
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