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Mahler, Kurt.

Lectures on Transcendental Numbers [electronic resource] / by Kurt Mahler ; edited by B. Diviš, W. J. Veque. - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1976. - XXI, 254 p. online resource. - Lecture Notes in Mathematics, 546 0075-8434 ; . - Lecture Notes in Mathematics, 546 .

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.

ISBN: 9783540379812

Standard No.: 10.1007/BFb0081107 doi

Subjects--Topical Terms:
Mathematics.
Number theory.
Mathematics.
Number Theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7