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On the congruence of modular forms

Part of the Lecture Notes in Mathematics book series (LNM,volume 1240)

Keywords

  • Prime Ideal
  • Modular Form
  • Fourier Coefficient
  • Number Field
  • Cusp Form

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References

  1. T. Asai, On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution, J. of the Math. Soc. of Japan, 28 (1976), 48–61.

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  2. A.O. Atkin and J. Lehner, Hecke operators on Γ0(m), Math. Ann., 185 (1970), 134–160.

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  3. T. Miyake, On automorphic forms on GL2 and Hecke operators, Ann. of Math., 94 (1971), 174–189.

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  4. G. Shimura, Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, No. 11 (1971).

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  5. J. Velu, Table 3, Modular functions of one variable IV, Springer Lecture Notes in Math. No. 476, Springer (1970), 116–122.

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© 1987 Springer-Verlag

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Sturm, J. (1987). On the congruence of modular forms. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072985

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  • DOI: https://doi.org/10.1007/BFb0072985

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17669-5

  • Online ISBN: 978-3-540-47756-3

  • eBook Packages: Springer Book Archive