Representation of a natural number by positive binary quadratic forms of a given discriminant

A. Bijlsma

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    Consider a representative system of the positive, integral binary quadratic forms of a given negative fundamental discriminant. A formula for the number of ways a positive integer may be represented by the various forms of such a system was firts given by KRONEKCER in 1885; although this result plays an important role in some parts of analytic number theory, no simple proof can be found in easily accessible literature. The present paper provides a short and elementary proof.
    Original languageEnglish
    Pages (from-to)105-114
    Number of pages10
    JournalNieuw Archief voor Wiskunde
    Volume23
    Issue number2
    Publication statusPublished - 1975

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