Published online by Cambridge University Press: 24 July 2019
We generalise a result of Chern [‘A curious identity and its applications to partitions with bounded part differences’, New Zealand J. Math. 47 (2017), 23–26] on distinct partitions with bounded difference between largest and smallest parts. The generalisation is proved both analytically and bijectively.
This work was supported by the National Natural Science Foundation of China (Nos. 11401080 and 11871246).