Geodesic
On the asymptotic behavior for partitions separated by parity
Kathrin Bringmann1 ; William Craig1 ; Caner Nazaroglu1
1University of Cologne
The electronic journal of combinatorics, Tome 32 (2025) no. 1

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Zbl DOI arXiv
The study of partitions with parts separated by parity was initiated by Andrews in connection with Ramanujan’s mock theta functions, and his variations on this theme have produced generating functions with a large variety of different modular properties. In this paper, we use Ingham’s Tauberian theorem to compute the asymptotic main term for each of the eight functions studied by Andrews.
DOI : 10.37236/12886
Classification : 11P82, 11P81
Mots-clés : integer partitions, asymptotic behavior, parity

Kathrin Bringmann  1   ; William Craig  1   ; Caner Nazaroglu  1

1 University of Cologne 
Kathrin Bringmann; William Craig; Caner Nazaroglu. On the asymptotic behavior for partitions separated by parity. The electronic journal of combinatorics, Tome 32 (2025) no. 1. doi: 10.37236/12886
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