Lower the oven temperature to 300°F
In a 2-quart saucepan, using your fingers, massage together the sugar and lemon zest. Whisk in flour.
Next whisk in the eggs and egg yolks.
Place over low heat and gently whisk in the lemon juice.
Increase the temperature to medium and using a spatula gently stir the mixture until it begins to thicken, coats a spatula and you are able to draw a line through it with your finger, about 5-7 minutes. (Could be as long as 7-8 minutes depending on your stove top)
Remove from heat and strain onto the top of the cooled crust.
Spread the filling evenly with an offset spatula.
Bake for 15 minutes. Remove from the oven and allow to cool. Chill in the refrigerator for 3-4 hours.
After the bars have chilled remove them from the pan and slice into bars or squares.