Recurrence relations satisfied by some arithmetic groups

초록

Recently, recurrence relations satisfied by the modular traces of the Hauptmodul for Gamma 0 ( N ) {\Gamma }_{0}\left(N) of genus zero have been established. However, these relations do not determine all values of the modular traces. In this study, we examine additional recursions and demonstrate that the values of the modular traces are fully determined for prime power levels.

키워드