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On Waring's problem: two squares and three biquadrates
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 not dividing n, n not congruent to 2 modulo 3, and n
not congruent to 14 modulo 16, are the sum of 2 squares and 3 biquadrates.Comment: to appear in Mathematik
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