From Baker to Mordell

G. Wüstholz
Additional contact information
G. Wüstholz: ETH Zürich, ETH-Zentrum

A chapter in International Symposium in Memory of Hua Loo Keng, 1991, pp 323-330 from Springer

Abstract: Abstract The theory of linear forms in logarithms goes back to the seventh of Hilbert’s famous problems which Hilbert stated in 1900. This problem was solved in 1934 independently by Gelfond and Schneider. They proved namely that for algebraic α, β with α ≠ 0,1 and β irrational the number γ = αβ is transcendental. This statement is equivalent to the following qualitative statement. Suppose that α, β, γ are algebraic numbers and that log α, log γ are defined and not zero. Then if Λ =β log α − log γ satisfies Λ = 0 we have β ∈ ℚ.

Keywords: Modulus Space; Linear Form; Abelian Variety; Number Field; Algebraic Number (search for similar items in EconPapers)
Date: 1991
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-07981-2_19

Ordering information: This item can be ordered from
http://www.springer.com/9783662079812

DOI: 10.1007/978-3-662-07981-2_19

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().