q-Generalizations of Mortenson’s identities and further identities
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By means of partial fraction decomposition, we give simple proofs of Mortenson’s identities first. Then, inspired by them, we derive their q-generalizations and explore further identities of similar type.
KeywordsHarmonic number Mortenson’s identities Supercongruences
Mathematics Subject Classification (2000)05A30 05A19
The authors thank the anonymous referee for his/her valuable suggestions and comments that have contributed to the improvement of the paper’s presentation.
- 11.Prodinger, H.: Mortenson’s identities and partial fraction decomposition. Util. Math., accepted. http://math.sun.ac.za/~hproding/paperlst.htm