On values of a modular form on Γ₀(N)
D. Choi (2006)
Acta Arithmetica
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Displaying similar documents to “On vector-valued modular forms and their Fourier coefficients”
On values of a modular form on Γ₀(N)
Notes on the method of Frobenian functions with applications to Fourier coefficients of modular forms
R. W. K. Odoni (1985)
Banach Center Publications
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On the finiteness of for motives associated to modular forms.
Besser, Amnon (1997)
Documenta Mathematica
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Generalized modular spaces
Hidegoro Nakano (1968)
Studia Mathematica
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Modular equations for some η-products
(2013)
Acta Arithmetica
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The classical modular equations involve bivariate polynomials that can be seen to be univariate in the modular invariant j with integer coefficients. Kiepert found modular equations relating some η-quotients and the Weber functions γ₂ and γ₃. In the present work, we extend this idea to double η-quotients and characterize all the parameters leading to this kind of equation. We give some properties of these equations, explain how to compute them and give numerical examples.
Nonvanishing theorems for L-functions of modular forms and their derivatives.
J. Hoffstein, D., Friedberg, S. Bump (1990)
Inventiones mathematicae
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Vector-valued modular forms associated to linear ordinary differential equations
Min Ho Lee (2008)
Commentationes Mathematicae Universitatis Carolinae
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We consider a class of linear ordinary differential equations determined by a modular form of weight one, and construct vector-valued modular forms of weight two by using solutions of such differential equations.
On the Fourier coefficients of Hilbert-Siegel modular forms.
Sunder Sal (1965)
Mathematische Zeitschrift
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On some equalities for the Weierstrass modular units of level p
Heima Hayashi (2006)
Acta Arithmetica
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A decomposition of the space of higher order modular cusp forms
Karen Taylor (2012)
Acta Arithmetica
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Vector Valued Siegel's Modular Forms of Degree Two and the Associated Andrianov L-Functions.
Tsuneo Arakawa (1983)
Manuscripta mathematica
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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...
On Fourier coefficients of modular forms of different weights
Winfried Kohnen (2004)
Acta Arithmetica
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