On the Andrianov-type identity for power series attached to Jacobi forms and its application
Hidenori Katsurada, Hisa-aki Kawamura (2010)
Acta Arithmetica
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Hidenori Katsurada, Hisa-aki Kawamura (2010)
Acta Arithmetica
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Min Ho Lee (2015)
Acta Arithmetica
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Jacobi-like forms for a discrete subgroup Γ of SL(2,ℝ) are formal power series which generalize Jacobi forms, and they correspond to certain sequences of modular forms for Γ. Given a modular form f, a Jacobi-like form can be constructed by using constant multiples of derivatives of f as coefficients, which is known as the Cohen-Kuznetsov lifting of f. We extend Cohen-Kuznetsov liftings to quasimodular forms by determining an explicit formula for a Jacobi-like form associated to a quasimodular...
Winfried Kohnen (1993)
Mathematische Zeitschrift
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Ramakrishnan, B., Sahu, Brundaban (2006)
International Journal of Mathematics and Mathematical Sciences
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Y.J. Choie, Hyunkwang Kim, M. Knopp (1995)
Mathematische Zeitschrift
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Don Zagier (1991)
Inventiones mathematicae
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Andrzej Dabrowski (1996)
Mathematische Zeitschrift
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Rolf Berndt (1994)
Manuscripta mathematica
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Rolf BERNDT, Siegfried Böcherer (1990)
Mathematische Zeitschrift
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Joachim Dulinski (1995)
Mathematische Annalen
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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.
S. Lewanowicz (1983)
Applicationes Mathematicae
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Jean-David Benamou, Philippe Hoch (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We describe both the classical Lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.