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On the Waring problem for polynomial rings

In this note we discuss an analog of the classical Waring problem for [Image: see text]. Namely, we show that a general homogeneous polynomial [Image: see text] of degree divisible by k≥2 can be represented as a sum of at most k(n) k-th powers of homogeneous polynomials in [Image: see text]. Noticea...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Fröberg, Ralf, Ottaviani, Giorgio, Shapiro, Boris
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 2012
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.gov/pmc/articles/PMC3326489/
https://ncbi.nlm.nih.gov/pubmed/22460787
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1120984109
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