Hi, I am studying a paper by Yann Bugeaud (

click here), on page 13 there is an inequality (16) as given below image-

https://www.mersenneforum.org/attach...1&d=1565055006
which is obtained from the below image file -

https://www.mersenneforum.org/attach...1&d=1565055006
, on page 12.

How the inequality (16) is derived? I couldn't figure it out. However one of my forum member tried but it has two problems (problems are marked as "how?"), it is given in below image-

https://www.mersenneforum.org/attach...1&d=1565055006
It is not clear how those two questions would be resolved.

Can any one show the derivation of inequality (16)?

Thanks in Advance.