2016/09/05 by Chandan Singh Dalawat, Dalawat, Chandan Singh
Arts and Humanities · Mathematics · Psychology · #11S15 #11S31 #Computer science #FOS: Mathematics #Geometry #Literature, Film, and Journalism Analysis #Mathematics #Number Theory (math.NT) #Orthogonality #Psychology #Reciprocity (cultural anthropology) #Social psychology #math.NT #msc:11S15 #msc:11S31
paper · pdf · doi:10.48550/arxiv.1609.01160
7 pages
arxiv created 2016/09/05 · openalex publication_date 2016/09/05 · arxiv updated 2016/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let p be a prime and let K be a finite extension of the field \bf Qp of p-adic numbers such that the group pK^× has order p. The \bf Fp-space K^× /K× p carries a natural filtration coming from the valuation on K, and a natural bilinear pairing coming from the reciprocity isomorphism for the exponent~p. We determine the orthogonal filtration for this pairing. We also prove the analogous result for p-fields of characteristic p.