Number Theory pp 411-440 | Cite as

Applications of Linear Forms in Logarithms

  • Yann Bugeaud
  • Guillaume Hanrot
  • Maurice Mignotte
Part of the Graduate Texts in Mathematics book series (GTM, volume 240)

Abstract

A linear form in logarithms of algebraic numbers is an expression of the form
$$ \beta _1 \log \alpha _1 + \cdots + \beta _n log \alpha _n , $$
where the α’s and the β’s denote complex algebraic numbers, and log denotes any determination of the logarithm.

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Copyright information

© Springer Science + Business Media, LLC 2007

Authors and Affiliations

  • Yann Bugeaud
  • Guillaume Hanrot
  • Maurice Mignotte

There are no affiliations available

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