Hannah E. Burson

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20182021

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math.NT2022

On the parity of the number of $(a, b, m)$ -copartitions of $n$

Hannah E. Burson, Dennis Eichhorn

We continue the study of the $(a, b, m)$ -copartition function $cp_{a, b, m} (n)$ , which arose as a combinatorial generalization of Andrews' partitions with even parts below odd…

math.NT2018

A bijective proof of a false theta function identity from Ramanujan's lost notebook

Hannah Burson

In his lost notebook, Ramanujan listed 5 identities related to the false theta function $f (q) = n = 0 \sum \infty (- 1)^{n} q^{n (n + 1) /2} .$ A new combinatorial interpretation and proof…

On the parity of the number of (a,b,m)-copartitions of n

A bijective proof of a false theta function identity from Ramanujan's lost notebook

On the parity of the number of $(a, b, m)$ -copartitions of $n$