Vector-valued modular resurgent series are defined, and Eichler integrals of unary theta series are proven to be non-trivial examples whose Stokes constants are rotated by the modular S-matrix and whose median resummation reconstructs the series.
HIM Lectures. Trimester Programm on Dynamics: Topology and Numbers
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Modular resurgent structures for vectors
Vector-valued modular resurgent series are defined, and Eichler integrals of unary theta series are proven to be non-trivial examples whose Stokes constants are rotated by the modular S-matrix and whose median resummation reconstructs the series.