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  • Publication
    Quantum modularity of partial theta series with periodic coefficients
    (Walter de Gruyter, 2021-01-13) ;
    We explicitly prove the quantum modularity of partial theta series with even or odd periodic coefficients. As an application, we show that the Kontsevich-Zagier series Ft(q) which matches (at a root of unity) the colored Jones polynomial for the family of torus knots T(3, 2t), t ≥ 2, is a weight 3/2 quantum modular form. This generalizes Zagier’s result on the quantum modularity for the “strange” series F(q).
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