### Abstract

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 | |

State | Published - 1 Jan 2009 |

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### Cite this

*Journal of Computational and Applied Mathematics*,

*223*(1), 314-325. DOI: 10.1016/j.cam.2008.01.014

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*Journal of Computational and Applied Mathematics*, vol 223, no. 1, pp. 314-325. DOI: 10.1016/j.cam.2008.01.014

**The asymptotics of a new exponential sum.** / Paris, Richard B.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The asymptotics of a new exponential sum

AU - Paris,Richard B.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - 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.

AB - 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.

U2 - 10.1016/j.cam.2008.01.014

DO - 10.1016/j.cam.2008.01.014

M3 - Article

VL - 223

SP - 314

EP - 325

JO - Journal of Computational and Applied Mathematics

T2 - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 1

ER -