Abstract
We establish that almost all natural numbers n are the sum of four cubes of positive integers, one of which is no larger than n(5/36). The proof makes use of an estimate for a certain eighth moment of cubic exponential sums, restricted to minor arcs only, of independent interest.
Original language | English |
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Pages (from-to) | 59-91 |
Number of pages | 33 |
Journal | Nagoya Mathematical Journal |
Volume | 200 |
DOIs | |
Publication status | Published - Dec 2010 |
Keywords
- SUMS