Open AccessThe Diophantine equation πΌβ^{π₯β}β―πΌ_{π}^{π₯_{π}}=π(π₯β,β¦,π₯_{π}). II
Author(s) -
Pietro Corvaja,
Wolfgang M. Schmidt,
Umberto Zannier
Publication year - 2009
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-09-05012-0
Subject(s) - algorithm , annotation , computer science , artificial intelligence
We will deal with the equation of the title where Ξ± 1 , β¦ , Ξ± n \alpha _{1},\dots ,\alpha _{n} are multiplicatively independent complex numbers and f f is a polynomial. We will give a bound for the number of solutions which depends only on n n and the degree of f f . Two further results which play a rΓ΄le in the proof are of independent interest.