Higher depth false modular forms

نویسندگان

چکیده

False theta functions are that closely related to classical and mock functions. In this paper, we study their modular properties at all ranks by forming completions analogous of indefinite any signature thereby develop a structure parallel the recently developed theory higher depth forms. We then demonstrate theoretical base on number examples up three coming from characters modules for vertex algebra [Formula: see text], text]-invariants three-manifolds associated with gauge group SU(3).

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ژورنال

عنوان ژورنال: Communications in Contemporary Mathematics

سال: 2022

ISSN: ['0219-1997', '1793-6683']

DOI: https://doi.org/10.1142/s0219199722500432