Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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COMPUTATIONS OF BASES FOR THE SPACES OF CUSPFORMS OF WEIGHT 2

  • Jeon, Daeyeol (Department of Mathematics Education Kongju National University)
  • Published : 2012.08.15
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Abstract

In this paper, we present a explicit procedure to compute a basis for the spaces of cuspforms of weight 2 on $X_0(N)$ which consists of eigenforms for the Atkin-Lehner involutions.

Keywords

References

  1. A. O. L. Atkin and J. Lehner, Hecke operators on $\Gamma_0$(m), Math. Ann. 185 (1970), 134-160. https://doi.org/10.1007/BF01359701
  2. B. J. Birch and W. Kuyk (Eds.), Modular functions of one variable, IV, Lecture Notes in Math. 476, Springer-Verlag, Berlin, 1975.
  3. http://modular.math.washington.edu/Tables/tables.html