Rational quantum modularity conjecture for modular resurgent q-series
Rational quantum modularity conjecture for modular resurgent q-series
Let be a -series with . Suppose its asymptotic expansion as extends to and has a modular resurgent structure. Rational quantum modularity conjecture. The function is a quantum modular form for a subgroup . This is the rational-domain analogue of the holomorphic quantum modularity conjecture; the source does not specify a resolution.
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Primary source
Veronica Fantini and Claudia Rella, “Modular resurgent structures”, arXiv:2404.11550 (2026).
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