Local densities of representations of quadratic forms over p-adic integers (The non-dyadic case)

Fumihiro Sato, Yumiko Hironaka

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    12 Citations (Scopus)

    Abstract

    We give an explicit formula for local densities of integral representations of nondegenerate integral symmetric matrices of arbitrary size in the case p≠2, in terms of invariants of quadratic forms.

    Original languageEnglish
    Pages (from-to)106-136
    Number of pages31
    JournalJournal of Number Theory
    Volume83
    Issue number1
    DOIs
    Publication statusPublished - 2000 Jul

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    Keywords

    • Local densities
    • Quadratic forms

    ASJC Scopus subject areas

    • Algebra and Number Theory

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