English

A Cosine Integral Series Representation of the Euler-Mascheroni Constant

Number Theory 2010-09-03 v2

Abstract

By integrating a series provided by Knopp, a series representation of the Euler-Mascheroni constant arises. The infinite sum representation of {\gamma} is determined through Fourier series (sawtooth wave).

Keywords

Cite

@article{arxiv.1008.4379,
  title  = {A Cosine Integral Series Representation of the Euler-Mascheroni Constant},
  author = {John M. Campbell},
  journal= {arXiv preprint arXiv:1008.4379},
  year   = {2010}
}

Comments

This paper has been withdrawn by the author due to Theorem 1 already having been published