02668nam 2200661 450 99646663550331620230411004930.03-540-37981-910.1007/BFb0081107(CKB)1000000000438256(SSID)ssj0000324400(PQKBManifestationID)12064890(PQKBTitleCode)TC0000324400(PQKBWorkID)10313075(PQKB)10650074(DE-He213)978-3-540-37981-2(MiAaPQ)EBC5595542(Au-PeEL)EBL5595542(OCoLC)1076239060(MiAaPQ)EBC6812265(Au-PeEL)EBL6812265(OCoLC)1287135158(PPN)155168665(EXLCZ)99100000000043825620220820d1976 uy 0engurnn#008mamaatxtccrLectures on transcendental numbers /K. Mahler ; edited and compiled by B. Diviš and W. J. Le Veque1st ed. 1976.Berlin ;Heidelberg ;New York :Springer-Verlag,[1976]©19761 online resource (XXI, 254 p.)Lecture notes in mathematics ;546Bibliographic Level Mode of Issuance: Monograph3-540-07986-6 Includes bibliographical references.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 differential 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.Lecture notes in mathematics (Springer-Verlag) ;546.Transcendental numbersNumber theoryDifferential equations, LinearTranscendental numbers.Number theory.Differential equations, Linear.512.73Mahler Kurt40873Diviš B.LeVeque William JudsonMiAaPQMiAaPQMiAaPQBOOK996466635503316Lectures on transcendental numbers80903UNISA