Local zeta functions and Meuser's invariant functions

DOI10.1016/0022-314X(91)90020-CzbMath0734.11071MaRDI QIDQ810582

Johan Pas

Publication date: 1991

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Poincaré seriesunramified extensionsinvariant functionIgusa local zeta functionvalued fieldsp-adic fieldfirst order language

Mathematics Subject Classification ID

Zeta functions and (L)-functions (11S40) Model theory (number-theoretic aspects) (11U09) Valued fields (12J10)

Cites Work

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• The rationality of the Poincaré series associated to the p-adic points on a variety
• The meromorphic continuation of a zeta function of Weil and Igusa type
• Reduction modulo \(p^ n\) des sous-ensembles analytiques fermés de \(\mathbb Z_p^N\).
• Quelques applications du théorème de densité de Chebotarev
• Cell Decomposition and Local Zeta Functions in a Tower of Unramified Extensions of a p -Adic Field
• Complex powers and asymptotic expansions. II.
• On definable subsets of p-adic fields
• Some Observations on Higher Degree Characters
• Sets Definable Over Finite Fields: Their Zeta-Functions
• On the Rationality of the Zeta Function of an Algebraic Variety

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