ON WARING'S PROBLEM: TWO SQUARES AND THREE BIQUADRATES
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 …