Some congruence property of modular forms.
Shoyu Nagaoka (1997)
Manuscripta mathematica
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Displaying similar documents to “Congruence Properties and Density Problems for the Fourier Coefficients of Modular Forms.”
Some congruence property of modular forms.
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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.
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R. W. K. Odoni (1985)
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Gunnar Dirdal (1976)
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Gunnar Dirdal (1972)
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Marvin Knopp, Geoffrey Mason (2003)
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S. Raghavan, S. Böcherer (1988)
Journal für die reine und angewandte Mathematik
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Sunder Sal (1965)
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J.W. Cogdell (1984)
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A decomposition of the space of higher order modular cusp forms
Karen Taylor (2012)
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Sturm type theorem for Siegel modular forms of genus 2 modulo p
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...