Abstract
Let G(k) denote the least number s such that every suffciently large natural number is the sum of at most s positive integral kth powers. We show that G(7) ≤ 31, G(8) ≤ 39, G(9) ≤ 47, G(10) ≤ 55, G(11) ≤ 63, G(12) ≤ 72, G(13) ≤ 81, G(14) ≤ 90, G(15) ≤ 99, G(16) ≤ 108.
Original language | English |
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Pages (from-to) | 241-247 |
Number of pages | 7 |
Journal | Acta Arithmetica |
Volume | 176 |
Issue number | 3 |
Early online date | 29 Sept 2016 |
DOIs | |
Publication status | Published - 4 Nov 2016 |