Integer valued polynomials over a number field

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    Abstract

    A number field is called a Pólya field if the module of integer valued polynomials over that field is generated by (fi) i=0 over the ring of integers, with deg(fi)=i, i=0, 1, 2,... In this paper bounds on the class numbers and on the number of ramified primes in Pólya fields are derived.
    Original languageEnglish
    Pages (from-to)155-203
    Number of pages49
    JournalManuscripta Mathematica
    Volume40
    Issue number2/3
    DOIs
    Publication statusPublished - 1982

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