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Asymptotic Properties of Stieltjes Constants

Number Theory 2022-10-26 v1

Abstract

We present a new asymptotic formula for the Stieltjes constants which is both simpler and more accurate than several others published in the literature (see e.g. \cite{Fekih-Ahmed}, \cite{Knessl Coffey}, \cite{Paris}). More importantly, it is also a good starting point for a detailed analysis of some surprising regularities in these important constants.

Keywords

Cite

@article{arxiv.2210.07244,
  title  = {Asymptotic Properties of Stieltjes Constants},
  author = {Krzysztof Maślanka},
  journal= {arXiv preprint arXiv:2210.07244},
  year   = {2022}
}

Comments

21 pages 11 figures