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A GENERALIZATION OF STURM'S BOUND TO A GROUP Γ+0(p)

  • Choi, SoYoung (Department of Mathematics Education Dongguk University)
  • Received : 2010.10.04
  • Accepted : 2010.11.09
  • Published : 2010.12.30

Abstract

Let p be a prime. We generalized Sturm's bound to a group ${\Gamma}_{0}^{+}(p)$ of which the genus is zero.

Keywords

References

  1. K. Harada, Moonshine of finite groups, The Ohio State University Lecture Notes.
  2. T. Miyake, Modular forms, Springer, 1989.
  3. J. Sturm, On the congruence of modular forms, Number theory (New York, 1984-1985), 275-280, Lecture Notes in Math., 1240, Springer, Berlin, 1987.