Local Zeta Functions on Hermitian Forms and Its Application to Local Densities

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    We give an explicit description of functional equations satisfied by zeta functions on the space of unramified hermitian forms over a p-adic field. Further, as an application, we give explicit expressions of local densities of integral representations of nondegenerate unramified hermitian matrices with entries in the ring of p-adic integers.

    Original languageEnglish
    Pages (from-to)40-64
    Number of pages25
    JournalJournal of Number Theory
    Volume71
    Issue number1
    DOIs
    Publication statusPublished - 1998 Jul

    Fingerprint

    Hermitian form
    Riemann zeta function
    P-adic Fields
    Hermitian matrix
    P-adic
    Integral Representation
    Functional equation
    Ring
    Integer

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Local Zeta Functions on Hermitian Forms and Its Application to Local Densities. / Hironaka, Yumiko.

    In: Journal of Number Theory, Vol. 71, No. 1, 07.1998, p. 40-64.

    Research output: Contribution to journalArticle

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