Unwanted authentication request window at login after upgrade to Ubuntu 13.10

Solution 1:

rm ~/.config/goa-1.0/accounts.conf didn't do it for me, but rm -rf ~/.config/evolution .local/share/evolution/ did. Hope this helps!

Solution 2:

I experienced a similar issue that was related to a Google account found under online accounts. I believe it was related to searching Google Docs in the dash.

You might want to look at the answers to this question, which yours seems to duplicate.