The Zotero app can be used on your iPhone or iPad. The app syncs with all of your libraries, including group libraries. You'll be able to edit and organize references, as well as read and annotate PDFs, as you would in the Zotero client. You can also add new references and files using the share button in various other apps, such as Safari and Twitter. All data syncs automatically in both directions.
The iOS app works best when your files are stored on zotero.org, rather than as linked files in an alternate cloud storage location.
Zotero doesn't have its own Android app, but there are some available from other developers.
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