Divisibility of finite geometric series (Q6166496)
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scientific article; zbMATH DE number 7721834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Divisibility of finite geometric series |
scientific article; zbMATH DE number 7721834 |
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Divisibility of finite geometric series (English)
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2 August 2023
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The authors study the geometric series \(G_n(x) = 1 + x + x^2 + \ldots + x^{n-1}\) over a field of characteristic zero. The main result of the paper is the theorem that describes when the polynomial \(G_n(x^p)\) divides the polynomial \(G_m(x^q)\).
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finite geometric series
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divisibility
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greatest common divisor
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