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The American Mathematical Monthly Volume 120, 2013 - Issue 1
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Original Articles

Transcendence of Generalized Euler Constants

M. Ram MurtyDepartment of Mathematics, Queen's University, Kingston, Ontario, K7L 3N6, Canada [email protected]View further author information
&
Anastasia ZaytsevaDepartment of Mathematics, Queen's University, Kingston, Ontario, K7L 3N6, [email protected]View further author information
Pages 48-54 | Published online: 13 Dec 2017

REFERENCES

  • T. M. Apostol, Introduction to Analytic Number Theory, Undergraduate Texts in Mathematics, Springer, New York, 1976.
  • A. Baker, Transcendental Number Theory, Cambridge University Press, Cambridge, 1990.
  • H. G. Diamond, K. Ford, Generalized Euler constants, Math. Proc. Cambridge Philos. Soc. 145 (2008) 27–41.
  • J. Havil, Gamma: Exploring Euler's Constant, Princeton University Press, Princeton, NJ, 2009.
  • D. H. Lehmer, Euler constants for arithmetical progressions, Acta Arith. 27 (1975) 125–142.
  • M. R. Murty, N. Saradha, Euler-Lehmer constants and a conjecture of Erdos, J. Number Theory 130 (2010) 2671–2682, available at http://dx.doi.Org/10.1016/j.jnt.2010.07.004.
  • A. B. Shidlovskii, Transcendental Numbers, De Gruyter studies in Mathematics, 012, Walter de Gruyter, Berlin-New York, 1989.
  • J. Stillwell, Mathematics and Its History, third edition, Undergraduate Texts in Mathematics, Springer, 2010.

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