LEADER 02671nam 2200649 450 001 996466621203316 005 20220912152618.0 010 $a3-540-68598-7 024 7 $a10.1007/BFb0093672 035 $a(CKB)1000000000437381 035 $a(SSID)ssj0000324609 035 $a(PQKBManifestationID)12069543 035 $a(PQKBTitleCode)TC0000324609 035 $a(PQKBWorkID)10315228 035 $a(PQKB)11759698 035 $a(DE-He213)978-3-540-68598-2 035 $a(MiAaPQ)EBC5591253 035 $a(Au-PeEL)EBL5591253 035 $a(OCoLC)1066190511 035 $a(MiAaPQ)EBC6842463 035 $a(Au-PeEL)EBL6842463 035 $a(OCoLC)1292358462 035 $a(PPN)155224832 035 $a(EXLCZ)991000000000437381 100 $a20220912d1996 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMahler functions and transcendence /$fKumiko Nishioka 205 $a1st ed. 1996. 210 1$aBerlin, Germany :$cSpringer-Verlag,$d[1996] 210 4$dİ1996 215 $a1 online resource (IX, 191 p.) 225 1 $aLecture Notes in Mathematics ;$v1631 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-61472-9 327 $aTranscendence theory of mahler functions of one variable -- Transcendence theory of mahler functions of several variables -- Algebraic independence of mahler functions and their values -- Applications of elimination theory -- Regular sequences and mahler functions. 330 $aThis book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, algebraic function field of one variable and rudiments of ring theory. The book is intended for both graduate students and researchers who are interested in transcendence theory. It will lay the foundations of the theory of Mahler functions and provide a source of further research. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1631. 606 $aNumerical functions 606 $ap-adic numbers 606 $aNumber theory 615 0$aNumerical functions. 615 0$ap-adic numbers. 615 0$aNumber theory. 676 $a512.73 686 $a11J81$2msc 700 $aNishioka$b Kumiko$f1954-$061063 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466621203316 996 $aMahler functions and transcendence$978061 997 $aUNISA