Representation by sums of unlike powers (Q2054212)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation by sums of unlike powers |
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Representation by sums of unlike powers (English)
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1 December 2021
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\textit{K. B. Ford} proved in [J. Am. Math. Soc. 9, No. 4, 919--940 (1996; Zbl 0866.11054)] that for all positive integers \(n\) exceeding some bound \(n_0\) one has \[ n = \sum_{j=2}^{15} n_j^j. \] for positive integers \(n_j\). The present (technical) paper improves on this by replacing \(15\) by \(14\) in the sum. Since the circle method is used we have no explicit value of \(n_0\).
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variant of Waring problem
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circle method
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