LEADER 02668nam 2200661 450 001 996466635503316 005 20230411004930.0 010 $a3-540-37981-9 024 7 $a10.1007/BFb0081107 035 $a(CKB)1000000000438256 035 $a(SSID)ssj0000324400 035 $a(PQKBManifestationID)12064890 035 $a(PQKBTitleCode)TC0000324400 035 $a(PQKBWorkID)10313075 035 $a(PQKB)10650074 035 $a(DE-He213)978-3-540-37981-2 035 $a(MiAaPQ)EBC5595542 035 $a(Au-PeEL)EBL5595542 035 $a(OCoLC)1076239060 035 $a(MiAaPQ)EBC6812265 035 $a(Au-PeEL)EBL6812265 035 $a(OCoLC)1287135158 035 $a(PPN)155168665 035 $a(EXLCZ)991000000000438256 100 $a20220820d1976 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLectures on transcendental numbers /$fK. Mahler ; edited and compiled by B. Divis? and W. J. Le Veque 205 $a1st ed. 1976. 210 1$aBerlin ;$aHeidelberg ;$aNew York :$cSpringer-Verlag,$d[1976] 210 4$dİ1976 215 $a1 online resource (XXI, 254 p.) 225 1 $aLecture notes in mathematics ;$v546 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-07986-6 320 $aIncludes bibliographical references. 327 $aExistence and first properties of transcendental numbers -- Convergent laurent series and formal laurent series -- First results on the values of analytic functions at algebraic points -- Linear differential equations: The lemmas of Shidlovski -- Linear differential equations: A lower bound for the rank of the values of finitely many siegel E-functions at algebraic points -- Linear differential equations: Shidlovski's theorems on the transcendency and algebraic independence of values of siegel E-functions -- Applications of Shidlovski's main theorems to special functions -- Formal power series as solutions of algebraic differential equations. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v546. 606 $aTranscendental numbers 606 $aNumber theory 606 $aDifferential equations, Linear 615 0$aTranscendental numbers. 615 0$aNumber theory. 615 0$aDifferential equations, Linear. 676 $a512.73 700 $aMahler$b Kurt$040873 702 $aDivis?$b B. 702 $aLeVeque$b William Judson 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466635503316 996 $aLectures on transcendental numbers$980903 997 $aUNISA