Geodesic
On Waring's problem for intermediate powers
Trevor D. Wooley1
1 School of Mathematics University of Bristol University Walk, Clifton Bristol BS8 1TW, United Kingdom
Acta Arithmetica, Tome 176 (2016) no. 3, pp. 241-247 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $G(k)$ denote the least number $s$ such that every sufficiently large natural number is the sum of at most $s$ positive integral $k$th powers. We show that $G(7)\le 31$, $G(8)\le 39$, $G(9)\le 47$, $G(10)\le 55$, $G(11)\le 63$, $G(12)\le 72$, $G(13)\le 81$, $G(14)\le 90$, $G(15)\le 99$, $G(16)\le 108$.
DOI : 10.4064/aa8439-8-2016
Keywords: denote least number every sufficiently large natural number sum positive integral kth powers

Trevor D. Wooley 1

1 School of Mathematics University of Bristol University Walk, Clifton Bristol BS8 1TW, United Kingdom 
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Trevor D. Wooley. On Waring's problem for intermediate powers. Acta Arithmetica, Tome 176 (2016) no. 3, pp. 241-247. doi: 10.4064/aa8439-8-2016

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