ARITHMETIC PROPERTIES OF TRACES OF SINGULAR MODULI ON CONGRUENCE SUBGROUPS
After Zagier proved that the traces of singular moduli are Fourier coefficients of a weakly holomorphic modular form, various arithmetic properties of the traces of singular values of modular functions mostly on the full modular group have been found. The purpose of this paper is to generalize the results for modular functions on congruence subgroups with arbitrary level.
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Issue Date
- 2010-12
- Language
- English
- Article Type
- Article
- Keywords
HALF-INTEGRAL WEIGHT; CLASS POLYNOMIALS; COEFFICIENTS; SERIES; POINTS; FORMS
- Citation
INTERNATIONAL JOURNAL OF NUMBER THEORY, v.6, no.8, pp.1755 - 1768
- ISSN
- 1793-0421
- Appears in Collection
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