Linear and algebraic independence of generalized Euler–Briggs constants

  title={Linear and algebraic independence of generalized Euler–Briggs constants},
  author={Sanoli Gun and V. Kumar Murty and Ekata Saha},
  journal={Journal of Number Theory},
Abstract Possible transcendental nature of Euler's constant γ has been the focus of study for sometime now. One possible approach is to consider γ not in isolation, but as an element of the infinite family of generalized Euler–Briggs constants. In a recent work [6] , it is shown that the infinite list of generalized Euler–Briggs constants can have at most one algebraic number. In this paper, we study the dimension of spaces generated by these generalized Euler–Briggs constants over number… Expand
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