### Abstract

The real solutions (possibly with zeros and/or poles) of P_{III}(0, 0, 4, −4) on ℝ_{> 0} are by (15.10) the functions f_{mult}(.,s,B)|_{ℝ>0 } for (s, B) ∈ V^{mat,ℝ}. In this chapter we shall obtain complete results about the sequences of zeros and/or poles of these solutions. These global results will be derived by combining, first, the local behaviour for small x and for large x, and second, the geometry of the spaces M_{3FN,ℝ} ^{mon} and M_{3FN,ℝ} ^{ini}=M_{3FN,ℝ} ^{reg}∪M_{3FN,ℝ} ^{sing}, which was described in Lemma 15.4 (a) and Theorem 15.5 (a).

Original language | English |
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Title of host publication | Lecture Notes in Mathematics |

Publisher | Springer Verlag |

Pages | 181-196 |

Number of pages | 16 |

Volume | 2198 |

DOIs | |

Publication status | Published - 2017 |

### Publication series

Name | Lecture Notes in Mathematics |
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Volume | 2198 |

ISSN (Print) | 0075-8434 |

### ASJC Scopus subject areas

- Algebra and Number Theory

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## Cite this

Guest, M., & Hertling, C. (2017). Real solutions of P

_{III}(0, 0, 4, −4) on ℝ_{> 0}In*Lecture Notes in Mathematics*(Vol. 2198, pp. 181-196). (Lecture Notes in Mathematics; Vol. 2198). Springer Verlag. https://doi.org/10.1007/978-3-319-66526-9_18