A quantitative Hasse principle for weighted quartic forms

DOI10.1112/mtk.12236arXiv2310.06868OpenAlexW4390229571MaRDI QIDQ6144281

Daniel Flores

Publication date: 29 January 2024

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.06868

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72)

Cites Work

• On Weyl's inequality, Hua's lemma, and exponential sums over binary forms.
• On the Hasse principle for quartic hypersurfaces
• Improvements in Birch's theorem on forms in many variables
• Forms in many variables
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