Papers
Modular forms arising form divisor functions
- AuthorBumkyu Cho; Daeyeoul Kim; Ja Kyung Koo
- JournalJournal of Mathematical Analysis and Applications 356 (2009
- Link https://doi.org/10.1016/j.jmaa.2009.03.003
- Classification of papersSCI
For an infinite family of modular forms constructed from Klein forms we provide certain explicit formulas for their Fourier coefficients by using the theory of basic hypergeometric series (Theorem 2). By making use of these modular forms we investigate the bases of the vector spaces of modular forms of some levels (Theorem 5) and find its application.
For an infinite family of modular forms constructed from Klein forms we provide certain explicit formulas for their Fourier coefficients by using the theory of basic hypergeometric series (Theorem 2). By making use of these modular forms we investigate the bases of the vector spaces of modular forms of some levels (Theorem 5) and find its application.