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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.

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  1. Department of Mathematics, Universiteit van Amsterdam, Roetersstraat 15, NL-1018, WB Amsterdam, Niederlande

    H. Zantema

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  1. H. Zantema
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Zantema, H. Integer valued polynomials over a number field. Manuscripta Math 40, 155–203 (1982). https://doi.org/10.1007/BF01174875

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  • DOI: https://doi.org/10.1007/BF01174875

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