An asymptotic approximation for incomplete Gauss sums. II

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摘要

An expansion for the incomplete Gauss sum Sm(x;p)=∑j=0m-1exp(πixjp), p>1 is obtained for x→0+ for values of m corresponding to the principal spiral 1⩽m

论文关键词：11L05,11L07,41-XX,41A60,34E05,Incomplete Gauss sum,Exponential sums,Asymptotics,Curlicues

论文评审过程：Received 26 July 2006, Available online 12 January 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2006.11.017