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AuthorMahler, Kurt. author
TitleLectures on Transcendental Numbers [electronic resource] / by Kurt Mahler ; edited by B. Diviลก, W. J. Le Veque
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1976
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Descript XXI, 254 p. online resource


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

Mathematics Number theory Mathematics Number Theory


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