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math.NT2014
The Jack Daniels Problem
John F. R. Duncan, Ken Ono
In 1975 Ogg offered a bottle of Jack Daniels for an explanation of the fact that the prime divisors of the order of the monster are the primes p for which the characteristic p supe…
math.NT2014
Maass-Jacobi Poincaré series and Mathieu Moonshine
Kathrin Bringmann, John Duncan, Larry Rolen
Mathieu moonshine attaches a weak Jacobi form of weight zero and index one to each conjugacy class of the largest sporadic simple group of Mathieu. We introduce a modification of t…