On Waring theorems with cubic polynomial summands. (Q2611639)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Waring theorems with cubic polynomial summands. |
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On Waring theorems with cubic polynomial summands. (English)
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1935
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Verf. beweist, daß sich eine jede Zahl \(s\) in der Form \[ s = f(x_1)+f(x_2)+\cdots+f(x_8) \] bei gegebenem \(f(x) = Dx + E\dfrac{x^3-x}{6}\) mit ganzzahligen \(D, E\) \((D, E) = (E, 15) = 1\) darstellen läßt, wenn sie gewissen von \(D\) abhängigen Kongruenzen mod \(E\) genügt, vermutet aber die Gültigkeit für alle \(s\).
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