On the Holomorphic Differential Forms of the Siegel Modular Variety II.
Riccardo Salvati Manni (1990)
Mathematische Zeitschrift
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Riccardo Salvati Manni (1990)
Mathematische Zeitschrift
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Stephen S. Kudla (1981)
Mathematische Annalen
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Min Ho Lee (2000)
Collectanea Mathematica
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Mixed automorphic forms generalize elliptic modular forms, and they occur naturally as holomorphic forms of the highest degree on families of abelian varieties parametrized by a Riemann surface. We construct generalized Eisenstein series and Poincaré series, and prove that they are mixed automorphic forms.
P. Sarnak, R. Philips (1994)
Geometric and functional analysis
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Masaaki Furusawa (1984)
Mathematische Annalen
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Ki-ichiro Hasimoto (1984)
Mathematische Annalen
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Jonathan Wing Chung Lam (2014)
Journal de Théorie des Nombres de Bordeaux
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We prove a large sieve type inequality for Maass forms and holomorphic cusp forms with level greater or equal to one and of integral or half-integral weight in short interval.
Shin-ichiro Mizumoto (1991)
Mathematische Annalen
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Youngju Choie, Subong Lim (2016)
Acta Arithmetica
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There is a Shimura lifting which sends cusp forms of a half-integral weight to holomorphic modular forms of an even integral weight. Niwa and Cipra studied this lifting using the theta series attached to an indefinite quadratic form; later, Borcherds and Bruinier extended this lifting to weakly holomorphic modular forms and harmonic weak Maass forms of weight 1/2, respectively. We apply Niwa's theta kernel to weak Maass forms by using a regularized integral. We show that the lifted function...
Kenneth A. Ribet (1980)
Mathematische Annalen
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R.A. Rankhi (1973)
Mathematische Annalen
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Peter Hertling (1995)
Mathematische Annalen
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A. Sankaranarayanan (2003)
Acta Arithmetica
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