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The asymptotics of a new exponential sum

✍ Scribed by R.B. Paris

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
855 KB
Volume
223
Category
Article
ISSN
0377-0427

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✦ Synopsis

The absolutely convergent exponential sum

is studied for m β†’ +∞ and fixed p when the parameter ΞΈ is allowed to become large such that ΞΈ/m remains finite. This situation corresponds, in general, to the trace in the complex plane of the partial sums of S p (ΞΈ; m) consisting of a multiple spiral structure. Numerical results are presented to illustrate the accuracy of the expansion.

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