Estimates for Fourier coefficients of Siegel cusp forms.
Winfried Kohnen, Siegfried Böcherer (1993)
Mathematische Annalen
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Winfried Kohnen, Siegfried Böcherer (1993)
Mathematische Annalen
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Winfried Kohnen (1993)
Mathematische Zeitschrift
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Siegfried Böcherer (1983)
Mathematische Zeitschrift
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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.
Heim, Bernhard (2010)
International Journal of Mathematics and Mathematical Sciences
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Sukumar Adhikari (1991)
Acta Arithmetica
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Winfried Kohnen (1996)
Compositio Mathematica
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Anton Good (1983)
Mathematische Zeitschrift
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Siegfried Böcherer (1985)
Mathematische Zeitschrift
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Minking Eie (2000)
Revista Matemática Iberoamericana
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We shall develop the general theory of Jacobi forms of degree two over Cayley numbers and then construct a family of Jacobi- Eisenstein series which forms the orthogonal complement of the vector space of Jacobi cusp forms of degree two over Cayley numbers. The construction is based on a group representation arising from the transformation formula of a set of theta series.
Y.J. Choie, Hyunkwang Kim, M. Knopp (1995)
Mathematische Zeitschrift
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