Abstract
We establish a new bound for the number of solutions of a pair of symmetric diophantine equations, one quartic and one quadratic, in ten variables. This estimate is then used to deduce a modest refinement of Weyl's inequality for eighth powers, which improves on an earlier result of Robert and Sargos.
Citation
Scott T. Parsell. "A note on Weyl's inequality for eighth powers." Rocky Mountain J. Math. 44 (1) 259 - 268, 2014. https://doi.org/10.1216/RMJ-2014-44-1-259
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