Don’t use ammonia. Ammonia will dissolve any antiglare coatings on the glass. Dishwashing detergent (diluted) followed by a clear water rinse. Use a microfiber towel for drying.
If that doesn’t work, stop by the optical shop at wallyworld and get a bottle of glasses lens cleaner. It works very well. Bon Ami is the next step. This stuff is very difficult to get off, but I have found that using a microfiber towel for drying either after the dishwashing liquid or the glasses cleaner seems to cut it better than a cotton towel. You have to rub hard.