On certain cubic forms in seven variables

On certain cubic forms in seven variables

The main result of this paper is a proof of the expected asymptotic formula for the density of zeros of a family of cubic forms in seven variables. This is established using the Hardy–Littlewood circle method.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 2010-07, Vol.149 (1), p.21-47
1. Verfasser: HARVEY, M. P.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Asymptotic properties
Density
Mathematical analysis
Mathematical models
Proving
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Beschreibung
Zusammenfassung:The main result of this paper is a proof of the expected asymptotic formula for the density of zeros of a family of cubic forms in seven variables. This is established using the Hardy–Littlewood circle method.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004110000010