Abstract
We use the Circle Method to derive asymptotics for functions related to the number of parts of partitions in particular residue classes.
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Acknowledgements
The authors would like to thank Ken Ono for suggesting this project and helpful discussions. For suggestions on how to improve an earlier draft of this paper they thank Kathrin Bringmann, Frank Garvan, Karl Mahlburg, Sharon Garthwaite, José-Miguel Zapata-Rolón, and Sander Zwegers.
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Beckwith, O., Mertens, M.H. The number of parts in certain residue classes of integer partitions. Res. number theory 1, 11 (2015). https://doi.org/10.1007/s40993-015-0012-8
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DOI: https://doi.org/10.1007/s40993-015-0012-8