Abstract
Estimates are provided for sth moments of cubic smooth Weyl
sums, when 4 ≤s≤8, by enhancing the author's iterative method that de-
livers 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.
sums, when 4 ≤s≤8, by enhancing the author's iterative method that de-
livers 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.
| Original language | English |
|---|---|
| Pages (from-to) | 73-100 |
| Number of pages | 28 |
| Journal | Acta Arithmetica |
| Volume | 170 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 17 Jul 2015 |