On mobiles, Easy Digital Downloads displays very little information in the payments table (Downloads > Payment History). it shows only the order ID and must be clicked on to expand the full details. This makes searching for purchases tricky as you may end up with a table with many results and need to expand each row manually to find the one you're looking for.
To address this, I use the following PHP code (which you can add to your functions.php file) to display extra info such as the email, amount, date, customer and status within the table. This makes locating purchases easier, and then expanding as before gives the full details / actions that can be taken on the target purchase.