Igusa's \(p\)-adic local zeta function associated to a polynomial mapping and a polynomial integration measure

DOI10.1007/s00229-011-0497-yzbMath1269.11120arXiv1012.5087OpenAlexW3101451308MaRDI QIDQ431149

Bart Bories

Publication date: 26 June 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5087

zbMATH Keywords

polynomial mappingIgusa local zeta functionpolynomial integration measure

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)

Related Items (3)

Zeta functions and Bernstein-Sato polynomials for ideals in dimension two ⋮ Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities ⋮ Computing topological zeta functions of groups, algebras, and modules, I

Cites Work

• Unnamed Item
• Unnamed Item
• Zeta functions and Bernstein-Sato polynomials for ideals in dimension two
• Generalized monodromy conjecture in dimension two
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Poles of the topological zeta function associated to an ideal in dimension two
• Newton polyhedra and Igusa's local zeta function
• The monodromy conjecture for zeta functions associated to ideals in dimension two
• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
• Complex powers and asymptotic expansions. I. Functions of certain types.
• Monodromy conjecture for some surface singularities
• On Igusa zeta functions of monomial ideals
• Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra
• Convex Analysis
• Quasi-ordinary power series and their zeta functions

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