On Fourier coefficients of modular forms of different weights
Winfried Kohnen (2004)
Acta Arithmetica
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Winfried Kohnen (2004)
Acta Arithmetica
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Torleiv Klove (1968)
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...
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Mathematica Scandinavica
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Hans-Fredrick Aas (1964)
Mathematica Scandinavica
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Hans-Fredrick Aas (1964)
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Acta Arithmetica
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Acta Arithmetica
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