Diagonal equations over unramified extensions of Qp

David B. Leep, Luis Sordo Vieira

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


If K is an unramified extension of the p -adic field Qp 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 languageEnglish
Pages (from-to)619-634
Number of pages16
JournalBulletin of the London Mathematical Society
Issue number4
StatePublished - 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


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

ASJC Scopus subject areas

  • Mathematics (all)


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