Basic and bibasic identities related to divisor functions
Combinatorics
2020-08-25 v2 Number Theory
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.
Cite
@article{arxiv.1312.6537,
title = {Basic and bibasic identities related to divisor functions},
author = {Victor J. W. Guo and Jiang Zeng},
journal= {arXiv preprint arXiv:1312.6537},
year = {2020}
}
Comments
16 pages