Recurrence Formulae for the Coefficients of Modular Forms and Congruences for the Partition Function and for the Coefficients of j(...), (j(...) - 1728)... and (j(...))... .
Torleiv Klove (1968)
Mathematica Scandinavica
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Torleiv Klove (1968)
Mathematica Scandinavica
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O. Kolberg (1962)
Mathematica Scandinavica
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Hans-Fredrick Aas (1964)
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Hans-Fredrick Aas (1964)
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Winfried Kohnen (2004)
Acta Arithmetica
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Douglas L. Ulmer (1996)
Annales de l'institut Fourier
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Torleiv Klove (1970)
Mathematica Scandinavica
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Dohoon Choi, YoungJu Choie, Toshiyuki Kikuta (2013)
Acta Arithmetica
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Suppose that f is an elliptic modular form with integral coefficients. Sturm obtained bounds for a nonnegative integer n such that every Fourier coefficient of f vanishes modulo a prime p if the first n Fourier coefficients of f are zero modulo p. In the present note, we study analogues of Sturm's bounds for Siegel modular forms of genus 2. As an application, we study congruences involving an analogue of Atkin's U(p)-operator for the Fourier coefficients of Siegel modular forms of genus...
Gunnar Dirdal (1972)
Mathematica Scandinavica
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D.B. Lahiri (1969)
Mathematica Scandinavica
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Tsuneo Ishikawa (2003)
Acta Arithmetica
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Pavel Guerzhoy (1997)
Manuscripta mathematica
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