## Abstract

Consider triangulations of RP^{2} whose all vertices have valency six except three vertices of valency 4. In this chapter we prove that the number f(n) of such triangulations with no more than n triangles grows as Câ€‰⋅â€‰n2â€‰+â€‰O(n3∕2) where, where is the Lobachevsky function and ζ(Eis,2)=∑(a,b)Z2-01|a+bω2|4, and ω6â€‰=â€‰1.

Original language | English |
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Title of host publication | In the Tradition of Thurston II |

Subtitle of host publication | Geometry and Groups |

Publisher | Springer International Publishing |

Pages | 315-329 |

Number of pages | 15 |

ISBN (Electronic) | 9783030975609 |

ISBN (Print) | 9783030975593 |

DOIs | |

State | Published - 1 Jan 2022 |

Externally published | Yes |

## Keywords

- Conical singularity
- Epstein zeta
- Equilateral triangulation
- Flat metric
- Function
- Hyperbolic volume
- Zeta function

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