TY - GEN T1 - Polynomials with special regard to reducibility T2 - Encyclopedia of mathematics and its applications ; A1 - Schinzel, Andrzej LA - English PP - Cambridge ; New York PB - Cambridge University Press YR - 2000 UL - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_ocm51240460 AB - This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomials over number fields that are either totally real or complex multiplication fields are included. Some of these results are based on recent work of E. Bombieri and U. Zannier (presented here by Zannier in an appendix). The book also treats other subjects like Ritt's theory of composition of polynomials, and properties of the Mahler measure, and it concludes with a bibliography of over 300 items. This unique work will be a necessary resource for all number theorists and researchers in related fields. OP - 558 CN - QA161.P59 S337 2000eb SN - 0511010656 SN - 9780511010651 SN - 0511033702 SN - 9780511033704 SN - 9780511542916 SN - 0511542917 SN - 0521662257 KW - Polynomials. KW - Polynômes. KW - MATHEMATICS : Algebra : Elementary. KW - Polynomials KW - Polynomen. KW - Electronic books. ER -