The Maaß space for Cayley numbers.
Minking Eie (1991)
Mathematische Zeitschrift
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Minking Eie (1991)
Mathematische Zeitschrift
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Max Koecher (1954/55)
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Joachim Dulinski (1995)
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W. Kohnen (1990)
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Takakazu Satoh (1989)
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Nils-Peter Skoruppa (1990)
Inventiones mathematicae
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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...
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.
Hidenori Katsurada, Hisa-aki Kawamura (2010)
Acta Arithmetica
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J. Chris Fisher, Joseph A. Thas (1979)
Mathematische Zeitschrift
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