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A note on the abc conjecture
Author(s) -
Hu PeiChu,
Yang ChungChun
Publication year - 2002
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3026
Subject(s) - mathematics , conjecture , value (mathematics) , pure mathematics , distribution (mathematics) , nevanlinna theory , beal's conjecture , collatz conjecture , combinatorics , algebra over a field , calculus (dental) , discrete mathematics , mathematical analysis , statistics , medicine , meromorphic function , dentistry
In this note we have generalized the abc ‐conjecture for integers and extended Mason's theorem to polynomials in ℂ m by dint of Nevanlinna's value distribution theory. © 2002 Wiley Periodicals, Inc.