An introduction to the theory of local zeta functions
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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 Bibliography Index.