Diagonal equations over unramified extensions of Qp

David B. Leep; Luis Sordo Vieira

doi:10.1112/blms.12163

Diagonal equations over unramified extensions of Q_p

David B. Leep
, Luis Sordo Vieira

Mathematics

Producción científica: Article › revisión exhaustiva

7 Citas (Scopus)

Resumen

If K is an unramified extension of the p -adic field Q_p where p ≥ 3, then we prove that any diagonal homogeneous form defined over K of degree d has a nontrivial zero in K provided that the number of variables is greater than d².

Idioma original	English
Páginas (desde-hasta)	619-634
Número de páginas	16
Publicación	Bulletin of the London Mathematical Society
Volumen	50
N.º	4
DOI	https://doi.org/10.1112/blms.12163
Estado	Published - ago 2018

Nota bibliográfica

Publisher Copyright:
© 2018 London Mathematical Society

Financiación

Received 1 October 2017; revised 10 February 2018; published online 15 May 2018. 2010 Mathematics Subject Classification 11D88, 11E76 (primary), 11D72 (secondary). The second author was supported during this work by the National Science Foundation Graduate Research Fellowship under grant no. 1247392.

Financiadores	Número del financiador
National Science Foundation (NSF)
Directorate for Education and Human Resources	1247392

ASJC Scopus subject areas

General Mathematics

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