To remove the Login and + buttons from the mobile version of your calendar just include the &nolognavbar=1 parameter at the end of your mobile calendar link. This option is ideal for a mobile or responsive website that has the mobile calendar embedded.
Below is the code you can add in your mobile website editor. Be sure to insert your unique calendar identifier where it reads "yourcalendaridentifier" in the src= link.
To learn about creating a Mobile-Friendly Upcoming Events List for a Mobile Website follow the link below: