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Rationality of p-adic Poincaré series: Uniformity in p - MaRDI portal

Rationality of p-adic Poincaré series: Uniformity in p (Q807686)

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scientific article; zbMATH DE number 4208222
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Rationality of p-adic Poincaré series: Uniformity in p
scientific article; zbMATH DE number 4208222

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    Rationality of p-adic Poincaré series: Uniformity in p (English)
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    1990
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    In many papers J. Denef made a remarkable application of logic to number theory, when he used the quantifier-elimination established by the author [J. Symbolic Logic 41, 605-610 (1976; Zbl 0362.02046)] to prove rationality of various p-adic Poincaré series. The scope of this paper is to prove that the rationality is uniform in p.
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    quantifier-elimination
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    rationality
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    p-adic Poincaré series
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