Abstract
We investigate sums of mixed powers involving two squares and three biquadrates. In particular, subject to the truth of the Generalised Riemann Hypothesis and the Elliott-Halberstam conjecture, we show that all large natural numbers n with 8 inverted iota n, n (sic) 2 (mod 3) and n (sic) 14 (mod 16) are the sum of two squares and three biquadrates.
Original language | English |
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Pages (from-to) | 153-165 |
Number of pages | 13 |
Journal | Mathematika |
Volume | 60 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2014 |
Keywords
- SUMS
- POWERS