Combine eggs, sugar, ricotta, flour, baking powder, brandy, lemon zest, and a pinch of salt in a medium bowl. Mix well, cover, and refrigerate for 1 hour.
Heat about 3'' vegetable oil in a large saucepan over medium-high heat. Drop rounded teaspoonfuls of batter into hot oil and fry, a few at a time, until golden, about 5 minutes. Drain on paper towels, dust with confectioners' sugar, and serve.