Note on an explicit formula of Rademacher symbols for triangle groups

2024/09/19 by Toshiki Matsusaka, Matsusaka, Toshiki, Gyucheol Shin +1
Mathematics · #11F20 #57M10 #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2409.12779

openalex publication_date 2024/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this note is to present an explicit formula of the Rademacher symbols for triangle groups. This result generalizes Ghys' third proof of the identity relating to the linking numbers of modular knots.

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