rm `find ./ -name filename`
that should do the trick. Note that the symbol before the find, and after filename is the key next to 1 (on UK keyboards). It will first find all files in the current directory and all subdirectories with the given name, and then prompt you to delete them. If you need to be more specific, or you want to remove the files without prompting, then a quick glance at the
man pages for both
rm and
find should help.
HTH