The number of integer points on Vinogradov's quadric

DOI10.1007/s00605-008-0085-8zbMath1216.11039OpenAlexW1994291511MaRDI QIDQ987409

Jörg Brüdern, Valentin Blomer

Publication date: 13 August 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0085-8

zbMATH Keywords

asymptotic estimateinteger pointshyperbola methodsingular quadric

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Counting solutions of Diophantine equations (11D45)

Related Items (6)

A paucity problem for certain triples of diagonal equations ⋮ Subconvexity in the inhomogeneous cubic Vinogradov system ⋮ Quadratic Weyl sums, automorphic functions and invariance principles ⋮ EFFECTIVE l ² DECOUPLING FOR THE PARABOLA ⋮ Counting in hyperbolic spikes: The Diophantine analysis of multihomogeneous diagonal equations ⋮ Iterates of Vinogradov's quadric and prime paucity

Cites Work

• On a certain nonary cubic form and related equations
• A special case of Vinogradov's mean value theorem
• Some Diophantine equations with almost all solutions trivial
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