Introduction 1. Motivic integration 2. Generating functions and Newton polyhedra 3. Quasi-ordinary power series 4. Denef-Loeser motivic zeta function under the Newton maps 5. Consequences of the main theorems 6. Monodromy conjecture for quasi-ordinary power series
Summary
Introduction Motivic integration Generating functions and Newton polyhedra Quasi-ordinary power series Denef-Loeser motivic zeta function under the Newton maps Consequences of the main theorems Monodromy conjecture for quasi-ordinary power series Bibliography