Debunking Conspiracy Theories for Independent Functions: The Gelfond-Schneider Theorem and the transcendence of \( {2^{\sqrt 2 }} \)
  • Edward B. Burger
  • Robert Tubbs


In his famous address delivered before the 1900 International Congress of Mathematicians in Paris, David Hilbert outlined 23 open questions that he believed to be the most important mathematical problems that remained unsolved at the dawn of the new century. Hilbert described his 7th problem as follows.


Entire Function Number Field Algebraic Number Minimal Polynomial Independent Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© E.B. Burger and R. Tubbs 2004

Authors and Affiliations

  • Edward B. Burger
    • 1
  • Robert Tubbs
    • 2
  1. 1.Department of MathematicsWilliams CollegeWilliamstownUSA
  2. 2.Department of MathematicsUniversity of Colorado at BoulderBoulderUSA

Personalised recommendations