English

Closed and asymptotic formulae for harmonic and quadratic harmonic sums

Discrete Mathematics 2024-12-13 v2 Classical Analysis and ODEs Number Theory

Abstract

We present here a large collection of harmonic and quadratic harmonic sums, that can be useful in applied questions, e.g., probabilistic ones. We find closed-form formulae, that we were not able to locate in the literature.

Keywords

Cite

@article{arxiv.2312.15366,
  title  = {Closed and asymptotic formulae for harmonic and quadratic harmonic sums},
  author = {Krzysztof Bartoszek},
  journal= {arXiv preprint arXiv:2312.15366},
  year   = {2024}
}