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논문

Modular forms arising form divisor functions

https://doi.org/10.1016/j.jmaa.2009.03.003

  • 저자Bumkyu Cho; Daeyeoul Kim; Ja Kyung Koo
  • 학술지Journal of Mathematical Analysis and Applications 356
  • 등재유형
  • 게재일자(2009)


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.

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