Second order modular forms
G. Chinta, N. Diamantis (2002)
Acta Arithmetica
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G. Chinta, N. Diamantis (2002)
Acta Arithmetica
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W. Kohnen (1990)
Mathematische Annalen
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Winfried Kohnen (1980)
Mathematische Annalen
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Nils-Peter Skoruppa (1991)
Journal de théorie des nombres de Bordeaux
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We give a geometric interpretation of an arithmetic rule to generate explicit formulas for the Fourier coefficients of elliptic modular forms and their associated Jacobi forms. We discuss applications of these formulas and derive as an example a criterion similar to Tunnel's criterion for a number to be a congruent number.
Shinji Fukuhara (2012)
Acta Arithmetica
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Karen Taylor (2012)
Acta Arithmetica
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Don Zagier, Nils-Peter Skoruppa (1988)
Inventiones mathematicae
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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.
Shin-ichiro Mizumoto (1991)
Mathematische Annalen
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W. Kohnen, N.-P. Skoruppa (1989)
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Erik A. Lippa (1974)
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Tomoyoshi Ibukiyama (1985)
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Winfried Kohnen, Jyoti Sengupta (2007)
Acta Arithmetica
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Özlem Imamoglu, Yves Martin (2006)
Acta Arithmetica
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