A note on the real densities of homogeneous systems in function fields

DOI10.1016/J.FFA.2013.09.005zbMath1355.11025OpenAlexW2043437898MaRDI QIDQ2434403

Xiaomei Zhao

Publication date: 5 February 2014

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2013.09.005

zbMATH Keywords

function fieldssingular integralreal density

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Arithmetic theory of polynomial rings over finite fields (11T55) (p)-adic and power series fields (11D88)

Related Items (1)

The asymptotic estimates and Hasse principle for multidimensional Waring's problem

Cites Work

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• Vinogradov's mean value theorem via efficient congruencing
• A note on multiple exponential sums in function fields
• A generalization of Roth's theorem in function fields
• The density of integer points on homogeneous varieties
• Near-optimal mean value estimates for multidimensional Weyl sums
• Multiple exponential sums over smooth numbers
• Asymptotic estimates for rational spaces on hypersurfaces in function fields
• Asymptotic formulae for pairs of diagonal equations

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