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On The Greatest Prime Factor of ax m + by n , II
Author(s) -
Bugeaud Yann
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609300007487
Subject(s) - mathematics , prime (order theory) , combinatorics , prime factor , algebraic number , norm (philosophy) , factor (programming language) , prime number , field (mathematics) , discrete mathematics , pure mathematics , mathematical analysis , computer science , political science , law , programming language
We provide a new lower bound for the greatest prime factor of the norm of algebraic numbers of the form ax m + by n . The improvement concerns the dependence on the number field containing a , b , x and y . 1991 Mathematics Subject Classification 11D61.