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Special values of modular functions on Hecke groups

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References

  1. [1]

    J. Bogo, W. Kuyk andF. Van Oystayen, The graded algebras generated by the modular forms for the Hecke groups G (λ), 1 ≥λ μ 2.Bull. Soc. Math. Belgique 24 (1974), 371–382.

  2. [2]

    J. H. Bruinier,W. Kohnen andK. Ono, The arithmetic of the values of modular functions and the divisors of modular forms. To appear inCompos. Math.

  3. [3]

    W. Eholzer andN.-P. Skoruppa, Product expansions of conformai characters.Phys. Lett. B 388 (1996), 82–89.

  4. [4]

    E. Hecke, über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung. In:E. Hecke,Gesammelte Werke (ed.: Akademie d. Wiss. Göttingen), Vandenhoeck & Ruprecht, Göttingen, 1959, pp. 591–626.

  5. [5]

    J. Lehner,Discontinuous groups and automorphic functions. AMS, Providence, 1964.

  6. [6]

    A. Ogg,Modular forms and Dirichlet series. Benjamin, New York, 1969.

  7. [7]

    Ch. Pohl, G. Rosenberger andA. Schoofs, Arithmetische Eigenschaften von Eisenstein-Reihen zu den Hecke-Gruppen\(G\left( {\sqrt 2 } \right)\) und\(G\left( {\sqrt 3 } \right)\).Abh. Math. Sem. Univ. Hamburg 54 (1984), 49–68.

  8. [8]

    J. Raleigh On the Fourier coefficients of triangle functions.Acta Arithm. VII (1962), 107–111.

  9. [9]

    K. Takeuchi, Arithmetic triangle groups.J. Math. Soc. Japan 29 (1977), 91–106.

  10. [10]

    J. Wolfart, Graduierte Algebren automorpher Formen zu Dreiecksgruppen.Analysis I (1981), 177–190.

  11. [11]

    —, Transzendente Zahlen als Fourierkoeffizienten von Heckes Modulformen.Acta Arithm. XXXIX (1981), 193–205.

  12. [12]

    —, Eine arithmetische Eigenschaft automorpher Formen zu gewissen nichtarithmetischen Gruppen.Math. Ann. 262 (1983), 1–21.

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Correspondence to Young Ju Choie or Winfried Kohnen.

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Choie, Y.J., Kohnen, W. Special values of modular functions on Hecke groups. Abh.Math.Semin.Univ.Hambg. 73, 289 (2003). https://doi.org/10.1007/BF02941284

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Keywords

  • Modular Form
  • Cusp Form
  • Modular Function
  • Automorphic Form
  • Automorphic Function