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math.NT2018
Modular Forms on the Double Half-Plane
John F. R. Duncan, David A. McGady
We formulate a notion of modular form on the double half-plane for half-integral weights and explain its relationship to the usual notion of modular form. The construction we provi…
math.NT2012★ 6 cited
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…