In a large mixing bowl, add flour, salt, pepper, 1 tablespoon vegetable oil and egg yolks. Mix.
While whisking, gradually in the beer. Mix well to form a thick batter.
Place bowl, , covered, in the refrigerator, for 3 to 4 hours before using to allow to chill completely.
Pour enough oil to fry onion rings (about 2 inches) into a large pot (alternately use a deep-fryer, if you have one).
Place pot on stovetop and heat oil to 370°F.
Peel and slice onions into thick rings. Separate rings.
Dip rings, 3 to 4 at a time, into the batter.
Place rings into hot oil and deep fry until golden brown.
Remove onion rings to a paper towel-covered plate to drain.
Repeat until all rings are fried.
Enjoy hot with a dipping sauce or three.