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math.NT2007
Partitions weighted by the parity of the crank
Dohoon Choi, Soon-Yi Kang, Jeremy Lovejoy
A partition statistic ` crank' gives combinatorial interpretations for Ramanujan's famous partition congruences. In this paper, we establish an asymptotic formula, Ramanujan type c…
math.NT2007
Exact formulas for traces of singular moduli of higher level modular functions
Dohoon Choi, Daeyeol Jeon, Soon-Yi Kang +1
Zagier proved that the traces of singular values of the classical j-invariant are the Fourier coefficients of a weight 3/2 modular form and Duke provided a new proof of the result…