Geodesic
Asymptotic behavior of odd-even partitions
Min-Joo Jang1
1Cologne University
The electronic journal of combinatorics, Tome 24 (2017) no. 3
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Andrews studied a function which appears in Ramanujan's identities. In Ramanujan's "Lost" Notebook, there are several formulas involving this function, but they are not as simple as the identities with other similar shape of functions. Nonetheless, Andrews found out that this function possesses combinatorial information, odd-even partition. In this paper, we provide the asymptotic formula for this combinatorial object. We also study its companion odd-even overpartitions.
DOI : 10.37236/6874
Classification : 05A17, 11P82
Mots-clés : odd-even partitions, overpartitions, asymptotics, Wright's circle method

Min-Joo Jang  1

1 Cologne University 
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Min-Joo Jang. Asymptotic behavior of odd-even partitions. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6874

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