Skip to main content

Baker’s Theorem

  • Chapter
  • First Online:
Transcendental Numbers

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Institutional subscriptions

Bibliography

  1. A. Baker, Linear forms in the logarithms of algebraic numbers. Mathematika 13, 204–216 (1966)

    Article  MATH  Google Scholar 

  2. D. Bertrand, D. Masser, Linear forms in elliptic integrals. Invent. Math. 58, 283–288 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  3. R.C. Gunning, H. Rossi, Analytic Functions of Several Complex Variables (AMS Chelsea, Providence, 2009)

    MATH  Google Scholar 

  4. S. Lang, Algebraic values of Meromorphic functions I. Topology 3, 183–191 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  5. S. Lang, Introduction to Transcendental Numbers. (Addison-Wesley, Reading, 1966)

    Google Scholar 

  6. D. Masser, Elliptic Functions and Transcendence. Lecture Notes in Mathematics, vol. 437 (Springer, Berlin, 1975)

    Google Scholar 

  7. A. Van der Poorten, On the arithmetic nature of definite integrals of rational functions. Proc. Am. Math. Soc. 29, 451–456 (1971)

    MATH  Google Scholar 

  8. A. Van der Poorten, A proof that Euler missed Apéry’s proof of the irrationality of ζ(3). Math. Intell. 1(4), 195–203 (1978/1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media New York

About this chapter

Cite this chapter

Murty, M.R., Rath, P. (2014). Baker’s Theorem. In: Transcendental Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0832-5_19

Download citation

Publish with us

Policies and ethics