Abstract
When k > 1 and s is sufficiently large in terms of k, we derive an explicit multi-term asymptotic expansion for the number of representations of a large natural number as the sum of s positive integral k-th powers.
Original language | English (US) |
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Pages (from-to) | 17-46 |
Number of pages | 30 |
Journal | Journal fur die Reine und Angewandte Mathematik |
Volume | 2018 |
Issue number | 742 |
DOIs | |
State | Published - Sep 1 2018 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics