Abstract
The absolutely convergent exponential sum [formula missing] is studied for m→+∞ and fixed p when the parameter θ is allowed to become large such that θ/m remains finite. This situation corresponds, in general, to the trace in the complex plane of the partial sums of Sp(θ;m) consisting of a multiple spiral structure. Numerical results are presented to illustrate the accuracy of the expansion.
| Original language | English |
|---|---|
| Pages (from-to) | 314-325 |
| Number of pages | 12 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 223 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2009 |
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Paris, R. B. (2009). The asymptotics of a new exponential sum. Journal of Computational and Applied Mathematics, 223(1), 314-325. https://doi.org/10.1016/j.cam.2008.01.014