An asymptotic approximation for incomplete Gauss sums. II

Authors:
R. B. Paris
Affiliations:
Division of Complex Systems, University of Abertay Dundee, Dundee DD1 1HG, UK
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

An expansion for the incomplete Gauss sum S"m(x;p)=@?"j"="0^m^-^1exp(@pixj^p), p1 is obtained for x-0^+ for values of m corresponding to the principal spiral 1=