Jameson, Graham J. O. (2006) *The number of zeros of a sum of fractional powers.* Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462 (2070). pp. 1821-1830. ISSN 1364-5021

Official URL: http://dx.doi.org/10.1098/rspa.2005.1647

## Abstract

We consider functions of the form f(x=∑j=1ncjx+ajp, where where a1>c⃛>an≥0. A version of Descartes's rule of signs applies. Further, if Cj=∑i=1jci and Cn=0, then the number of zeros of f is bounded by the number of sign changes of Cj. The estimate is reduced by 1 for each relation of the form ∑j=1ncjajr=0.

Item Type: | Article |
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Journal or Publication Title: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |

Additional Information: | RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics |

Uncontrolled Keywords: | zeros ; Descartes ; Laguerre ; sign changes ; exponential sums |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 2372 |

Deposited By: | ep_importer |

Deposited On: | 01 Apr 2008 16:13 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 07 Jan 2015 13:48 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/2372 |

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