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Recurrence relations satisfied by some arithmetic groups

delete2025-10-14
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PRE
AI
H
Hee-Jin Kang
C
Chang Heon Kim
K
Kyeong Seok Min *
DOI:10.1515/math-2025-0202delete
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Abstract

Abstract

En 中文
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.
Keywords:
meromorphic modular forms
traces of singular moduli

Journal

O
Open Mathematics
IF:
0.9
Papers:
27
Citations:
0

Organization

S
sungkyunkwan university (skku)
Scholars:
3.7W
Papers: 3.6W
Citations: 49