35 citations · 250 across the 28 of their papers we have counts for
4 papers · 1 filter
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…
Umbral Moonshine
Miranda C. N. Cheng, John F. R. Duncan, Jeffrey A. Harvey
We describe surprising relationships between automorphic forms of various kinds, imaginary quadratic number fields and a certain system of six finite groups that are parameterised…
The Largest Mathieu Group and (Mock) Automorphic Forms
Miranda C. N. Cheng, John F. R. Duncan
We review the relationship between the largest Mathieu group and various modular objects, including recent progress on the relation to mock modular forms. We also review the connec…