Abstract
Let $q$ be a power of an odd prime $p$ and let ${k}$ be a finite field with $q$ elements. Our main result is: If $q \notin \{3,9,5,13,17,25,29\},$ every polynomial $P\in{k}[t]$ of degree $\geq 269$ is a strict sum of 11 biquadrates. We first decompose $P$ as a strict mixed sum of biquadrates.
Citation
Mireille Car. Luis H. Gallardo. "Waring's problem for polynomial biquadrates over a finite field of odd characteristic." Funct. Approx. Comment. Math. 37 (1) 39 - 50, January 2007. https://doi.org/10.7169/facm/1229618740
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