Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity

@inproceedings{Kim2016OddbalancedUS,
  title={Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity},
  author={Byungchan Kim and Subong Lim and Jeremy Lovejoy},
  year={2016}
}
  • Byungchan Kim, Subong Lim, Jeremy Lovejoy
  • Published 2016
  • Mathematics
  • We define odd-balanced unimodal sequences and show that their generating function V(x, q) has the same remarkable features as the generating function for strongly unimodal sequences U(x, q). In particular, we discuss (mixed) mock modularity, quantum modularity, and congruences modulo 2 and 4. We also study two related functions which share some of the properties of U(x, q) and V(x, q). 

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