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Deshouillers, Jean-Marc; Dress, François

Sums of 19 biquadrates: On the representation of large integers. (English) Zbl 0769.11035

Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 19, No. 1, 113-153 (1992).
This paper contains a detailed account of the key ingredient for a proof of \(g(4)=19\), namely that all sufficiently large numbers are sums of 19 biquadrates.
[An announcement was published in C. R. Acad. Sci., Paris, Sér. I 303, 85-88, 161-163 (1986; Zbl 0594.10039-40)].
Reviewer: J.Brüdern (Göttingen)

Cited in 2 Documents

MSC:

11P05 Waring’s problem and variants

Keywords:

representation of large integers; Waring’s problem; sums of 19 biquadrates

Citations:

Zbl 0594.10040; Zbl 0594.10039
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\textit{J.-M. Deshouillers} and \textit{F. Dress}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 19, No. 1, 113--153 (1992; Zbl 0769.11035)
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References:

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