02671nam 2200649 450 99646662120331620220912152618.03-540-68598-710.1007/BFb0093672(CKB)1000000000437381(SSID)ssj0000324609(PQKBManifestationID)12069543(PQKBTitleCode)TC0000324609(PQKBWorkID)10315228(PQKB)11759698(DE-He213)978-3-540-68598-2(MiAaPQ)EBC5591253(Au-PeEL)EBL5591253(OCoLC)1066190511(MiAaPQ)EBC6842463(Au-PeEL)EBL6842463(OCoLC)1292358462(PPN)155224832(EXLCZ)99100000000043738120220912d1996 uy 0engurnn#008mamaatxtccrMahler functions and transcendence /Kumiko Nishioka1st ed. 1996.Berlin, Germany :Springer-Verlag,[1996]©19961 online resource (IX, 191 p.)Lecture Notes in Mathematics ;1631Bibliographic Level Mode of Issuance: Monograph3-540-61472-9 Transcendence 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.This 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.Lecture notes in mathematics (Springer-Verlag) ;1631.Numerical functionsp-adic numbersNumber theoryNumerical functions.p-adic numbers.Number theory.512.7311J81mscNishioka Kumiko1954-61063MiAaPQMiAaPQMiAaPQBOOK996466621203316Mahler functions and transcendence78061UNISA