Abstract
Every polynomial P ∈ f q [t] where gcd (q, 6) = 1 and q ¬∈ {5,13,17,25,29}, is a strict mixed sum of 11 biquadrates and it is also a strict sum of 16 biquadrates. For the strict mixed sum representation, a supplementary biquadrate is required for q E {13,17,25,29} and four supplementary biquadrates for q = 5. Every polynomial P E F q [t] where gcd (q, 6) = 1 and q ¬∈ {7, 13} is a strict sum of 7 cubes. One supplementary cube is required for q = 13 and two for q = 7.
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