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math.NT2017★ 18 cited
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…
math.NT2017
O'Nan moonshine and arithmetic
John F. R. Duncan, Michael H. Mertens, Ken Ono
Answering a question posed by Conway and Norton in their seminal 1979 paper on moonshine, we prove the existence of a graded infinite-dimensional module for the sporadic simple gro…