Extensions and variations of Andrews–Merca identities
Date
2023-07
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of even parts in all partitions of n into distinct parts. We generalise this result and consider many more variations of their work. We also highlight some connections with the work of Fu and Tang.
Description
Keywords
Partition, Bijection, Generating function, Congruence
Citation
Nyirenda, D., Mugwangwavari, B. Extensions and variations of Andrews–Merca identities. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 149 (2023). https://doi.org/10.1007/s13398-023-01479-7