You should make sure to get your DA results page working correctly first, then you can just update your menu to pass the rite value to this page to see the intended results.
For the results page you will need to define a search criteria based on the results you would like to see. So if you have a recordset that is selecting all of the items for an artists you would add in a search to the DataAssist search server behavior that would look at the artists id column and match it to a get variable for the id. It might be like this:
separator: AND
column: artists_id
type: number
comparison: =
value: <?php echo isset($_GET['artistsID'])?$_GET['artistsID']:"" ?>
You could test the page out by visiting it with the artistsID= and use a valid artists id number. You should see the items for that artists.
Once that part is worked out you would then craft your menu so that the links to the results page contained this artists id like this:
results.php?artistsID=<your artists id number>
Please post back with any additional questions that you have or if you run into any problems.