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arXiv · 1211.1823

On Waring's problem: two squares and three biquadrates

John B. Friedlander·Trevor D. Wooley
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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 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.

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John B. Friedlander, Trevor D. Wooley. 2012-11-08. On Waring's problem: two squares and three biquadrates. https://doi.org/10.1112/s0025579313000089

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