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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	619-634
Number of pages	16
Journal	Bulletin of the London Mathematical Society
Volume	50
Issue number	4
DOIs	https://doi.org/10.1112/blms.12163
State	Published - Aug 2018

Bibliographical note

Funding Information:
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.

Publisher Copyright:
© 2018 London Mathematical Society

Keywords

11D72 (secondary)
11D88
11E76 (primary)

ASJC Scopus subject areas

Mathematics (all)

Access to Document

10.1112/blms.12163

Cite this

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note = "Funding Information: 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. Publisher Copyright: {\textcopyright} 2018 London Mathematical Society",

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