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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
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https://doi.org/10.1007/bfb008...
Book . 1976 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.1007/bfb...
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Lectures on Transcendental Numbers

descriptionPublicationkeyboard_double_arrow_right Book 01 Jan 1976Publisher:Springer Berlin Heidelberg
Authors: Kurt Mahler;

doi: 10.1007/bfb0081107

Lectures on Transcendental Numbers

Abstract

Existence and first properties of transcendental numbers.- Convergent laurent series and formal laurent series.- First results on the values of analytic functions at algebraic points.- Linear differental equations: The lemmas of Shidlovski.- Linear differential equations: A lower bound for the rank of the values of finitely many siegel E-functions at algebraic points.- Linear differential equations: Shidlovski's theorems on the transcendency and algebraic independence of values of siegel E-functions.- Applications of Shidlovski's main theorems to special functions.- Formal power series as solutions of algebraic differential equations.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
64
Top 10%
Top 1%
Average
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