The mixed mock modularity of certain duals of generalized quantum modular forms of Hikami and Lovejoy
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Publication:6404145
DOI10.1016/J.AIM.2023.108944zbMATH Open1521.11025arXiv2207.02591MaRDI QIDQ6404145
Sander Zwegers, Eric T. Mortenson
Publication date: 6 July 2022
Abstract: We express a family of Hecke--Appell-type sums of Hikami and Lovejoy in terms of mixed mock modular forms; in particular, we express the sums in terms of Appell functions and theta functions. Hikami and Lovejoy's family of Hecke--Appell-type sums was obtained by considering certain duals of generalized quantum modular forms.
Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)
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