Quasi-Ordinary Power Series and Their Zeta Functions

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Quasi-Ordinary Power Series and Their Zeta Functions is written by Enrique Artal-Bartolo and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821838768 (ISBN 10) and 9780821838761 (ISBN 13).

Intends to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, this title computes the local Denef-Loeser motivic zeta function $Z_{\text{DL}}(h, T)$ of a quasi-ordinary power series $h$ of arbitrary dimension