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MINOR ARC MOMENTS OF WEYL SUMS
Published online by Cambridge University Press: 02 August 2012
Abstract
We obtain an improved bound for the 2k-th moment of a degree k Weyl sum, restricted to a set of minor arcs, when k is small. We then present some applications of this bound to some Diophantine problems, including a case of the Waring–Goldbach problem, and a particular family of Diophantine equations defined as the sum of a norm form and a diagonal form.
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- Copyright © Glasgow Mathematical Journal Trust 2012
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