1. Preheat the oven to 325°F. Lightly butter a 13 × 9 inch glass baking dish.

2. Prepare the crust: Place the flour, baking powder, salt, both sugars, and the butter in a food processor and process just until the mixture begins to hold together. Add the walnuts and pulse to combine. Press the dough evenly over the bottom of the prepared dish. Bake until lightly browned, 12 to 15 minutes. Let cool.

3. Prepare the filling: In a large mixing bowl beat together the cream cheese and farmer’s cheese until light and fluffy. Beat in the sugar, then add the eggs, one at a time, beating well after each addition.

4. Finely grate or chop the zest of the lemons. Squeeze the juice from the lemons and strain. Add the zest and juice to the cheese mixture. Add the flour, vanilla, and light cream and beat until smooth. Pour the filling over the baked crust.

5. Bake the cheesecake until a wooden toothpick inserted in the center comes out clean, 1 hour to 1 hour and 10 minutes. Cool, then cover and refrigerate at least 12 hours. Cut into squares to serve.