On the Connection between Igusa Local Zeta Functions and Generalized Exponential Sums
نویسنده
چکیده
This paper considers a formula for Weil’s Generalized Exponential Sums which depends entirely upon the singularities modulo π, similar to the purpose of the Stationary Phase Formula (SPF) for Igusa Local Zeta Functions (ILZF). Unlike the formula discussed in this paper, the SPF for ILZF also requires one to examine the points where the function evaulates to zero modulo π; this paper shows where the disparity between the two formulae arises. In proving this, the paper gives a simplification of the transformation necessary to find an ILZF from its associated Generalized Exponential Sum.
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