In his lost notebook, Ramanujan listed five identities related to the false theta function: f(q)=∑n=0∞(-1)nqn(n+1)/2.A new combinatorial interpretation and a proof of one of these identities are given. The methods of the proof allow for new multivariate generalizations of this identity. Additionally, the same technique can be used to obtain a combinatorial interpretation of another one of the identities.
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- False theta functions