Solubility of additive sextic forms over Q2(√−1) and Q2(√−5)(Formula Presented)

Drew Duncan; David B. Leep

doi:10.5486/PMD.2021.8973

Solubility of additive sextic forms over Q₂(^√−1) and Q₂(^√−5)(Formula Presented)

Drew Duncan
, David B. Leep

Mathematics

Producción científica: Article › revisión exhaustiva

4 Citas (Scopus)

Resumen

Michael Knapp, in a previous work, conjectured that every additive sextic form over Q2(^√−1) and Q2(^√−5)(Formula Presented)in seven variables has a nontrivial zero. In this paper, we show that this conjecture is true, establishing that Γ^*(6,Q2(^√−1)) = Γ^*(6,Q2(^√−5)) = 7.

Idioma original	English
Páginas (desde-hasta)	431-446
Número de páginas	16
Publicación	Publicationes Mathematicae Debrecen
Volumen	99
N.º	3-4
DOI	https://doi.org/10.5486/PMD.2021.8973
Estado	Published - 2021

Nota bibliográfica

Publisher Copyright:
© 2021 University of Debrecen, Institute of Mathematics. All rights reserved.

ASJC Scopus subject areas

General Mathematics

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