Lectures on Transcendental Numbers
Mahler, Kurt.
Lectures on Transcendental Numbers [electronic resource] / by Kurt Mahler ; edited by B. Diviš, W. J. Le Veque. - 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.
9783540379812
10.1007/BFb0081107 doi
Number theory.
Number Theory.
QA241-247.5
512.7
Lectures on Transcendental Numbers [electronic resource] / by Kurt Mahler ; edited by B. Diviš, W. J. Le Veque. - 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.
9783540379812
10.1007/BFb0081107 doi
Number theory.
Number Theory.
QA241-247.5
512.7