Transcendence of Generalized Euler Constants

@article{Murty2013TranscendenceOG,
  title={Transcendence of Generalized Euler Constants},
  author={M. Murty and Anastasia Zaytseva},
  journal={The American Mathematical Monthly},
  year={2013},
  volume={120},
  pages={48 - 54}
}
Abstract We consider a class of analogues of Euler's ᵞ constant and use Baker's theory of linear forms in logarithms to study its arithmetic properties. In particular, we show that with at most one exception, all of these analogues are transcendental. 

Topics from this paper

Shifted Euler constants and a generalization of Euler-Stieltjes constants
Euler's constant: Euler's work and modern developments
Errata and Addenda to Mathematical Constants

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