@article{Qiu2026, 
author = {Jun Qiu and Hongguang Wu},
title = {A generalization of a theorem of Erdős and Niven},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {6},
pages = {18835-18844},
keywords = {harmonic series, generalized harmonic series, partial sums},
url = {https://www.sciopen.com/article/10.3934/math.2026766},
doi = {10.3934/math.2026766},
abstract = {In 1946, Erdős and Niven proved that no two distinct partial sums of the harmonic series can be equal. In this paper, we extend their result by establishing the analogous property for a generalized harmonic series of the form    ∑      1          a      +      i      b      , where    a and    b are coprime positive integers with    a  >  b  ≥  1.}
}