A refinement of Heath-Brown's theorem on quadratic forms

DOI10.4213/sm9711earXiv2110.13873MaRDI QIDQ6188992

A. V. Dymov, Alberto Mario Maiocchi, Sergej B. Kuksin, S. G. Vleduts

Publication date: 12 January 2024

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.13873

zbMATH Keywords

quadratic formcircle methodquadricsummation over quadrics

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) General ternary and quaternary quadratic forms; forms of more than two variables (11E20)

Cites Work

• KAM for the nonlinear beam equation
• Bounds for automorphic \(L\)-functions
• Formal expansions in stochastic model for wave turbulence. I: Kinetic limit
• Forms in many variables
• A new form of the circle method, and its application to quadratic forms.
• Effective Dynamics of the Nonlinear Schrödinger Equation on Large Domains
• Secondary terms in asymptotics for the number of zeros of quadratic forms over number fields
• The large-period limit for equations of discrete turbulence
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