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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★ 1 cited
Metrical theory for -Rosen fractions
Karma Dajani, Cor Kraaikamp, Wolfgang Steiner
The Rosen fractions form an infinite family which generalizes the nearest-integer continued fractions. In this paper we introduce a new class of continued fractions related to the…