Geodesic
On Waring's problem for intermediate powers
Trevor D. Wooley1
1School of Mathematics University of Bristol University Walk, Clifton Bristol BS8 1TW, United Kingdom
Acta Arithmetica, Tome 176 (2016) no. 3, pp. 241-247

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DOI

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 
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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