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Rademacher Expansions for False and Mock Modular Forms

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BLH - Black holes: bridges between number theory and holographic quantum information

Holomorphic modular forms are tightly constrained by both holomorphy and modular symmetries. Going back to the seminal works of Hardy, Ramanujan, and Rademacher, we know that these properties can impose robust constraints on the Fourier coefficients of holomorphic modular forms, enabling the derivation of convergent, exact formulae for these coefficients at nonpositive weights.  In this talk, we will review how such arguments can be extended to (mixed) mock or false modular forms, possibly at depths higher than one.

This talk is part of the Isaac Newton Institute Seminar Series series.

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