%0 Journal Article
%T An Analytic Proof of Bugeaud-Mignotte Theorem
%A Jamel Ghanouchi
%J Asian Journal of Mathematics & Statistics
%D 2009
%I Asian Network for Scientific Information
%X The Bugeaud-Mignotte theorem concerns the Diophantine equation , when X = 10. It includes the fact that any integer greater than 2 and with all digits equal to 1 in base ten cannot be a pure power. It means that does not exist Y an integer strictly greater than 1 and q an integer strictly greater than 1 for which Yq is a number with all digits equal to 1 in base ten.
%K analysis
%K Diophantine equations
%K sequences
%K series
%U http://docsdrive.com/pdfs/ansinet/ajms/2009/9-14.pdf