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An Introduction to the Theory of Local Zeta Functions
About this Title
Jun-ichi Igusa, Johns Hopkins University, Baltimore, MD
Publication: AMS/IP Studies in Advanced Mathematics
Publication Year:
2000; Volume 14
ISBNs: 978-0-8218-2907-3 (print); 978-1-4704-3805-0 (online)
DOI: https://doi.org/10.1090/amsip/014
MathSciNet review: MR1743467
MSC: Primary 11S40; Secondary 11G25, 11M99
ReadershipTable of Contents
Front/Back Matter
Chapters
- Preliminaries
- Implicit function theorems and $K$-analytic manifolds
- Hironaka’s desingularization theorem
- Bernstein’s theory
- Archimedean local zeta functions
- Prehomogeneous vector spaces
- Totally disconnected spaces and $p$-adic manifolds
- Local zeta functions ($p$-adic case)
- Some homogeneous polynomials
- Computation of $Z(s)$
- Theorems of Denef and Meuser