Abstract
We investigate a variation of the q-Wolstenholme theorem, which extends the q-analogue of Wolstenholme’s theorem due to Shi and Pan (Am Math Mon 114:529–531, 2007). The proof relies on the Ramanujan sum and higher-order logarithmic derivatives of cyclotomic polynomials.
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Acknowledgements
The author would like to thank the anonymous referee for his/her helpful comments which helped to improve the exposition of the paper. The author is also grateful to Ofir Gorodetsky for his valuable comments on this paper. This work was supported by the National Natural Science Foundation of China (Grant 12171370).
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Liu, JC. A variation of the q-Wolstenholme theorem. Annali di Matematica 201, 1993–2000 (2022). https://doi.org/10.1007/s10231-022-01187-w
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DOI: https://doi.org/10.1007/s10231-022-01187-w