### Abstract

In order to make the results approachable and transparent, this introduction is quite detailed. Unlike the main body of the monograph (Chaps. 2–18), it starts in Sect. 1.1 with the Painlevé III equations, and explains immediately and concretely the space M^{ini} of initial conditions. Although this is quite long, it is just a friendly introduction to essentially well known facts on Painlevé III. Section 1.2 gives, equally concretely, the space M^{mon} of monodromy data (at this point, without explaining where it comes from). Section 1.3 presents the main results on real solutions. No special knowledge is required to understand these statements.

Original language | English |
---|---|

Pages (from-to) | 1-20 |

Number of pages | 20 |

Journal | Lecture Notes in Mathematics |

Volume | 2198 |

DOIs | |

Publication status | Published - 2017 |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Lecture Notes in Mathematics*,

*2198*, 1-20. https://doi.org/10.1007/978-3-319-66526-9_1

**Introduction.** / Guest, Martin; Hertling, Claus.

Research output: Contribution to journal › Editorial

*Lecture Notes in Mathematics*, vol. 2198, pp. 1-20. https://doi.org/10.1007/978-3-319-66526-9_1

}

TY - JOUR

T1 - Introduction

AU - Guest, Martin

AU - Hertling, Claus

PY - 2017

Y1 - 2017

N2 - In order to make the results approachable and transparent, this introduction is quite detailed. Unlike the main body of the monograph (Chaps. 2–18), it starts in Sect. 1.1 with the Painlevé III equations, and explains immediately and concretely the space Mini of initial conditions. Although this is quite long, it is just a friendly introduction to essentially well known facts on Painlevé III. Section 1.2 gives, equally concretely, the space Mmon of monodromy data (at this point, without explaining where it comes from). Section 1.3 presents the main results on real solutions. No special knowledge is required to understand these statements.

AB - In order to make the results approachable and transparent, this introduction is quite detailed. Unlike the main body of the monograph (Chaps. 2–18), it starts in Sect. 1.1 with the Painlevé III equations, and explains immediately and concretely the space Mini of initial conditions. Although this is quite long, it is just a friendly introduction to essentially well known facts on Painlevé III. Section 1.2 gives, equally concretely, the space Mmon of monodromy data (at this point, without explaining where it comes from). Section 1.3 presents the main results on real solutions. No special knowledge is required to understand these statements.

UR - http://www.scopus.com/inward/record.url?scp=85032022278&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85032022278&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-66526-9_1

DO - 10.1007/978-3-319-66526-9_1

M3 - Editorial

AN - SCOPUS:85032022278

VL - 2198

SP - 1

EP - 20

JO - Lecture Notes in Mathematics

JF - Lecture Notes in Mathematics

SN - 0075-8434

ER -