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Multiple exponential sums over smooth numbers

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Publication:2706827
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DOI10.1515/crll.2001.018zbMath1021.11024OpenAlexW1974493762MaRDI QIDQ2706827

Scott T. Parsell

Publication date: 5 December 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3ccc06d643d200102cafddfccd4e8acc29333eff


zbMATH Keywords

hypersurfacelines on hypersurfacestwo-dimensional Waring's problem


Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45)


Related Items (8)

HUA‐TYPE ITERATION FOR MULTIDIMENSIONAL WEYL SUMS ⋮ Near-optimal mean value estimates for multidimensional Weyl sums ⋮ A note on the real densities of homogeneous systems in function fields ⋮ A note on multiple exponential sums in function fields ⋮ Rational lines on cubic hypersurfaces ⋮ Asymptotic estimates for rational linear spaces on hypersurfaces ⋮ The asymptotic estimates and Hasse principle for multidimensional Waring's problem ⋮ The density of rational lines on cubic hypersurfaces



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