A NOTE ON WEYL'S INEQUALITY FOR EIGHTH POWERS

作者:Parsell Scott T*
来源:Rocky Mountain Journal of Mathematics, 2014, 44(1): 259-268.
DOI:10.1216/RMJ-2014-44-1-259

摘要

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.

  • 出版日期2014