### Abstract

In this chapter we shall rewrite and extend one of the two main results of [Ni09], the asymptotic formulae as x → 0 for all solutions of P_{III}(0, 0, 4, −4). In [Ni09, 1.4.2], Niles distinguishes three cases a, b and c and makes implicitly the following finer separation into five cases a, b+, b−, c+, c−. Let ℂ ^{[sto]} be the complex plane with coordinate s, and define.

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

Publisher | Springer Verlag |

Pages | 115-126 |

Number of pages | 12 |

Volume | 2198 |

DOIs | |

Publication status | Published - 2017 |

### Publication series

Name | Lecture Notes in Mathematics |
---|---|

Volume | 2198 |

ISSN (Print) | 0075-8434 |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Lecture Notes in Mathematics*(Vol. 2198, pp. 115-126). (Lecture Notes in Mathematics; Vol. 2198). Springer Verlag. https://doi.org/10.1007/978-3-319-66526-9_12

**Asymptotics of all solutions near 0.** / Guest, Martin; Hertling, Claus.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Lecture Notes in Mathematics.*vol. 2198, Lecture Notes in Mathematics, vol. 2198, Springer Verlag, pp. 115-126. https://doi.org/10.1007/978-3-319-66526-9_12

}

TY - CHAP

T1 - Asymptotics of all solutions near 0

AU - Guest, Martin

AU - Hertling, Claus

PY - 2017

Y1 - 2017

N2 - In this chapter we shall rewrite and extend one of the two main results of [Ni09], the asymptotic formulae as x → 0 for all solutions of PIII(0, 0, 4, −4). In [Ni09, 1.4.2], Niles distinguishes three cases a, b and c and makes implicitly the following finer separation into five cases a, b+, b−, c+, c−. Let ℂ [sto] be the complex plane with coordinate s, and define.

AB - In this chapter we shall rewrite and extend one of the two main results of [Ni09], the asymptotic formulae as x → 0 for all solutions of PIII(0, 0, 4, −4). In [Ni09, 1.4.2], Niles distinguishes three cases a, b and c and makes implicitly the following finer separation into five cases a, b+, b−, c+, c−. Let ℂ [sto] be the complex plane with coordinate s, and define.

UR - http://www.scopus.com/inward/record.url?scp=85032013161&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85032013161&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-66526-9_12

DO - 10.1007/978-3-319-66526-9_12

M3 - Chapter

VL - 2198

T3 - Lecture Notes in Mathematics

SP - 115

EP - 126

BT - Lecture Notes in Mathematics

PB - Springer Verlag

ER -