A Variant of Weyl’s Inequality for Systems of Forms and Applications

DOI10.1007/978-1-4939-3201-6_9zbMath1375.11035arXiv1403.7156OpenAlexW2185444812MaRDI QIDQ2808224

Damaris Schindler

Publication date: 20 May 2016

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7156

zbMATH Keywords

circle methodintegral pointstrigonometric sumsWeyl's inequalityBirch's theoremsystems of forms

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Diophantine inequalities (11D75) Diophantine equations in many variables (11D72) Representation problems (11D85)

Related Items (4)

Quadratic forms and systems of forms in many variables ⋮ Quantitative results on Diophantine equations in many variables ⋮ Forms in many variables and differing degrees ⋮ A note on p -adic solubility for forms in many variables

Cites Work

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• On cubic polynomials. IV: Systems of rational equations
• The density of integer points on homogeneous varieties
• Bihomogeneous forms in many variables
• COMPLETE INTERSECTIONS IN RELATION TO A PAPER OF B. J. BIRCH
• Forms in many variables
• WEYL'S INEQUALITY AND SYSTEMS OF FORMS
• Forms representing forms and linear spaces on hypersurfaces

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