Preheat the oven to 350°F (175°C).

Place the unbaked pie crust into a 9-inch pie pan and crimp the edges.

In a mixing bowl, whisk together the sugar, cornmeal, and salt.

Stir in the vanilla extract, fresh lemon juice, and lemon zest.

Add the eggs one at a time, mixing well after each addition.

Pour in the melted butter and mix until fully combined.

Carefully pour the filling into the prepared pie crust.

Bake in the preheated oven for 40 to 45 minutes or until the filling is set and the top is lightly browned.

Let the pie cool completely before slicing.