Geodesic
Sums of three cubes, II
Trevor D. Wooley1
1 School of Mathematics University of Bristol University Walk, Clifton Bristol BS8 1TW, United Kingdom
Acta Arithmetica, Tome 170 (2015) no. 1, pp. 73-100 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Estimates are provided for $s$th moments of cubic smooth Weyl sums, when $4\le s\le 8$, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding $X$ that are represented as the sum of three cubes of natural numbers.
DOI : 10.4064/aa170-1-6
Keywords: estimates provided sth moments cubic smooth weyl sums enhancing authors iterative method delivers estimates beyond classical convexity consequence improved lower bound presented number integers exceeding represented sum three cubes natural numbers

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. Sums of three cubes, II. Acta Arithmetica, Tome 170 (2015) no. 1, pp. 73-100. doi: 10.4064/aa170-1-6

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