A decomposition of the space of higher order modular cusp forms
Karen Taylor (2012)
Acta Arithmetica
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Karen Taylor (2012)
Acta Arithmetica
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Shinji Fukuhara (2012)
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D. Choi (2006)
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G. Chinta, N. Diamantis (2002)
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Vincent Bosser (2008)
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Marvin Knopp, Geoffrey Mason (2003)
Acta Arithmetica
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Besser, Amnon (1997)
Documenta Mathematica
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SoYoung Choi, Chang Heon Kim (2015)
Open Mathematics
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We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.
Karl Mahlburg, Ken Ono (2004)
Acta Arithmetica
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S. Raghavan, S. Böcherer (1988)
Journal für die reine und angewandte Mathematik
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Özlem Imamoglu, Yves Martin (2006)
Acta Arithmetica
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Wissam Raji (2007)
Acta Arithmetica
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Sunder Sal (1965)
Mathematische Zeitschrift
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J. Hoffstein, D., Friedberg, S. Bump (1990)
Inventiones mathematicae
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Winfried Kohnen (2004)
Acta Arithmetica
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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...