Mock modular forms whose shadows are eisenstein series of integral weight

SEBASTIAN DANIEL HERRERO MIRANDA, Anna Maria von Pippich

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)435-463
Number of pages29
JournalMathematical Research Letters
Volume27
Issue number2
DOIs
StatePublished - 2020
Externally publishedYes

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