Lower bound for the poles of Igusa's \(p\)-adic zeta functions

DOI10.1007/s00208-006-0016-8zbMath1131.11075arXivmath/0509043OpenAlexW2058269678MaRDI QIDQ2433981

Dirk Segers

Publication date: 31 October 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509043

Mathematics Subject Classification ID

Zeta functions and (L)-functions (11S40)

Related Items (6)

A new generating function for calculating the Igusa local zeta function ⋮ Introduction to 𝑝-adic Igusa zeta functions ⋮ The motivic zeta function and its smallest poles ⋮ Exponential sums: Questions by Denef, Sperber, and Igusa ⋮ New bounds for exponential sums with a non-degenerate phase polynomial ⋮ On the poles of topological zeta functions

Cites Work

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• Lectures on forms of higher degree. Notes by S. Raghavan
• On the smallest poles of Igusa's \(p\)-adic zeta functions
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
• Poles of Igusa's local zeta function and monodromy
• On the smallest poles of topological zeta functions

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