Error with twitter authentication site on some phones


In line with the Twitter oAuth authentication directive, @twhiiapp redirect users to the Twitter authentication site (…) to get the necessary authentication tokens. The site however fail to open on many phone browsers (the error on a particular samsung model was certificate).
What is possibly wrong? Any special auth url for mobile?
And by the way, the signout links on the auth site, when rendered in mobile format, redirects elsewhere and doesn’t log the already logged in user out.