A New Generating Function for Calculating the Igusa Local Zeta Function

Raemeon A. Cowan, Daniel J. Katz, Lauren M. White

A new method is devised for calculating the Igusa local zeta function $Z_f$ of a polynomial $f(x_1,\dots ,x_n)$ over a $p$-adic field. This involves a new kind of generating functio…