172 citations · 846 across the 36 of their papers we have counts for
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Three-Manifold Quantum Invariants and Mock Theta Functions
Miranda C. N. Cheng, Francesca Ferrari, Gabriele Sgroi
Mock modular forms have found applications in numerous branches of mathematical sciences since they were first introduced by Ramanujan nearly a century ago. In this proceeding we h…
Weight One Jacobi Forms and Umbral Moonshine
Miranda C. N. Cheng, John F. R. Duncan, Jeffrey A. Harvey
We analyze holomorphic Jacobi forms of weight one with level. One such form plays an important role in umbral moonshine, leading to simplifications of the statements of the umbral…
Optimal Mock Jacobi Theta Functions
Miranda C. N. Cheng, John F. R. Duncan
We classify the optimal mock Jacobi forms of weight one with rational coefficients. The space they span is thirty-four-dimensional, and admits a distinguished basis parameterized b…
On the Discrete Groups of Mathieu Moonshine
Miranda C. N. Cheng, John F. R. Duncan
We prove that a certain space of cusp forms for the Hecke congruence group of a given level is one-dimensional if and only if that level is the order of an element of the second la…
Rademacher Sums and Rademacher Series
Miranda C. N. Cheng, John F. R. Duncan
We exposit the construction of Rademacher sums in arbitrary weights and describe their relationship to mock modular forms. We introduce the notion of Rademacher series and describe…