On Fourier coefficients of modular forms of different weights
Winfried Kohnen (2004)
Acta Arithmetica
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Displaying similar documents to “How to compute the coefficients of the elliptic modular function .”
On Fourier coefficients of modular forms of different weights
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 Siegel modular forms.
S. Raghavan, S. Böcherer (1988)
Journal für die reine und angewandte Mathematik
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Fourier coefficients of modular forms of half-integral weight.
H. Iwaniec (1987)
Inventiones mathematicae
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A modular identity for the Ramanujan identity modulo 35.
Stanger, Adrian Dan (2002)
Integers
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On vector-valued modular forms and their Fourier coefficients
Marvin Knopp, Geoffrey Mason (2003)
Acta Arithmetica
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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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Oscillations of Fourier Coefficients of Modular Forms.
M. Ram Murty (1983)
Mathematische Annalen
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Fourier Coefficients of Generalized Eisenstein Series of Degree Two. I.
Shin-ichiro Mizumoto (1981/82)
Inventiones mathematicae
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On the spezialschar of Maass.
Heim, Bernhard (2010)
International Journal of Mathematics and Mathematical Sciences
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An integrality criterion for elliptic modular forms
Andrea Mori (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be an elliptic modular form level of N. We present a criterion for the integrality of at primes not dividing N. The result is in terms of the values at CM points of the forms obtained applying to the iterates of the Maaß differential operators.
Nonvanishing theorems for L-functions of modular forms and their derivatives.
J. Hoffstein, D., Friedberg, S. Bump (1990)
Inventiones mathematicae
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Fourier Coefficients of Modular Forms of Half-Integral Weight.
Winfried Kohnen (1985)
Mathematische Annalen
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Explicit formulae of Siegel Eisenstein series.
Atsushi Haruki (1997)
Manuscripta mathematica
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