Hi,
serie_id is just the media ID. So for example, if you want to get the
whole series of http://www.fotolia.com/id/10198474 you just need to call
getSearchResults using serie_id = 10198474 like this:
http://api.fotolia.com/Rest/1/search/getSearchResults?search_parameters%5Bserie_id%5D=10198474
--
Oliv