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arXiv · 1312.6537

Basic and bibasic identities related to divisor functions

Victor J. W. Guo·Jiang Zeng
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Abstract

Using basic hypergeometric functions and partial fraction decomposition we give a new kind of generalization of identities due to Uchimura, Dilcher, Van Hamme, Prodinger, and Chen-Fu related to divisor functions. An identity relating Lambert series to Eulerian polynomials is also proved.

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Victor J. W. Guo, Jiang Zeng. 2020-08-24. Basic and bibasic identities related to divisor functions. https://doi.org/10.1016/j.jmaa.2015.06.018

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