Estimates for Smooth Weyl Sums on Major Arcs

Jörg Brüdern, Trevor D. Wooley

Type: Article

Publication Date: 2024-11-26

Citations: 0

DOI: https://doi.org/10.1093/imrn/rnae252

Abstract

Abstract We present estimates for smooth Weyl sums of use on sets of major arcs in applications of the Hardy–Littlewood method. In particular, we derive mean value estimates on major arcs for smooth Weyl sums of degree $k$ delivering essentially optimal bounds for moments of order $u$ whenever $u&gt;2\lfloor k/2\rfloor +4$.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF

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