Transcendence of Generalized Euler Constants

  title={Transcendence of Generalized Euler Constants},
  author={M. Murty and Anastasia Zaytseva},
  journal={The American Mathematical Monthly},
  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


Transcendental Number Theory
Mathematics and its history
Euler–Lehmer constants and a conjecture of Erdös
Generalized Euler constants
  • H. Diamond, K. Ford
  • Mathematics
  • Mathematical Proceedings of the Cambridge Philosophical Society
  • 2008
Introduction to analytic number theory
Exploring Euler’s Constant
  • 2009
After postdoctoral fellowships at the Institute for Advanced Study in Princeton and the Tata Institute for Fundamental Research in Mumbai, he joined McGill University in 1982
  • M. RAM MURTY obtained his Ph.D. from MIT in 1980, under the supervision of Harold Stark
  • 1996
Generalized Euler constants , Math
  • Proc . Cambridge Philos . Soc .
  • 1990
Transcendental Numbers, De Gruyter studies in Mathematics, 012
  • Walter de Gruyter, Berlin–New York,
  • 1989