MINOR ARC MOMENTS OF WEYL SUMS

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...

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Veröffentlicht in:	Glasgow mathematical journal 2013-01, Vol.55 (1), p.97-113
1. Verfasser:	HARVEY, M. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Diophantine equation Mathematical analysis Norms Number theory Sums Theorems
Online-Zugang:	Volltext
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