Skip to main content

2.6651441426902251886502972498…

Debunking Conspiracy Theories for Independent Functions: The Gelfond-Schneider Theorem and the transcendence of \( {2^{\sqrt 2 }} \)

  • Chapter
  • 448 Accesses

Abstract

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.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   84.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2004 E.B. Burger and R. Tubbs

About this chapter

Cite this chapter

Burger, E.B., Tubbs, R. (2004). 2.6651441426902251886502972498…. In: Making Transcendence Transparent. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4114-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-4114-8_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-1948-9

  • Online ISBN: 978-1-4757-4114-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics