NOTE ON AN EXPLICIT FORMULA FOR RADEMACHER SYMBOLS DEFINED ON TRIANGLE GROUPS
  • Matsusaka, Toshiki
  • Shin, Gyucheol
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초록

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

키워드

DEDEKIND SUMS
제목
NOTE ON AN EXPLICIT FORMULA FOR RADEMACHER SYMBOLS DEFINED ON TRIANGLE GROUPS
저자
Matsusaka, ToshikiShin, Gyucheol
DOI
10.1090/proc/17288
발행일
2025-07-10
유형
Article
저널명
Proceedings of the American Mathematical Society
153
9
페이지
3713 ~ 3721