On Siegel modular forms obtained form theta series.
Hiroyuki Yoshida (1984)
Journal für die reine und angewandte Mathematik
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Hiroyuki Yoshida (1984)
Journal für die reine und angewandte Mathematik
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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...
Roelof W. Bruggeman (1986)
Mathematische Zeitschrift
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Karen Taylor (2012)
Acta Arithmetica
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Ahara, Kazushi, Takasawa, Mitsuhiko (2000)
Experimental Mathematics
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Hiroyuki Yoshida (1980)
Inventiones mathematicae
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Shinji Fukuhara (2012)
Acta Arithmetica
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J.-S. Li (1996)
Geometric and functional analysis
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Siegfried Böcherer, R. Schulze-Pillot (1992)
Mathematische Zeitschrift
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Winfried Kohnen (1980)
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Alex J. Feingold, Igor B. Frenkel (1983)
Mathematische Annalen
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Acta Arithmetica
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