Mock modular forms whose shadows are eisenstein series of integral weight

SEBASTIAN DANIEL HERRERO MIRANDA, Anna Maria von Pippich

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)

Resumen

The purpose of this article is to give a simple and explicit construction of mock modular forms whose shadows are Eisenstein series of arbitrary integral weight, level, and character. As application, we construct forms whose shadows are Hecke's Eisenstein series of weight one associated to imaginary quadratic fields, recovering some results by Kudla, Rapoport and Yang (1999), and Schofer (2009), and forms whose shadows equal Θ2k(z) for k ∈ {1, 2, 3, 4}, where Θ(z) denotes Jacobi's theta function.

Idioma original Inglés 435-463 29 Mathematical Research Letters 27 2 https://doi.org/10.4310/MRL.2020.v27.n2.a5 Publicada - 2020 Sí

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