Representations of integers by systems of three quadratic forms

DOI10.1112/plms/pdw027zbMath1396.11122arXiv1509.04757OpenAlexW2201202526MaRDI QIDQ2831998

Melanie Matchett Wood, Damaris Schindler, Lillian Beatrix Pierce

Publication date: 4 November 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04757

zbMATH Keywords

geometryrepresentationquadratic formssystemsimultaneousKloosterman refinementthree forms

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Quadratic forms over global rings and fields (11E12) Representation problems (11D85)

Related Items (4)

Rational points on complete intersections over Fq(t)${\mathbb {F}}_q(t)$ ⋮ On the Hasse principle for complete intersections ⋮ On the number of certain del Pezzo surfaces of degree four violating the Hasse principle ⋮ Quantitative results on Diophantine equations in many variables

Cites Work

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• Pairs of quadrics in 11 variables
• RATIONAL POINTS ON INTERSECTIONS OF CUBIC AND QUADRIC HYPERSURFACES
• Forms in many variables
• A new form of the circle method, and its application to quadratic forms.
• Estimates for complete multiple exponential sums
• WEYL'S INEQUALITY AND SYSTEMS OF FORMS
• Number of Points of Varieties in Finite Fields

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