Place all ingredients for the sauce in a bowl and mix well, set aside.
Place onion, garlic, and dill in food processor. Blend until onion and dill are very fine. Combine these ingredients in a large bowl with coarsely chopped salmon, the zest of 1 lemon, the juice of 1/2 a lemon, 1 egg, 1 cup bread crumbs and salt and pepper. Mix well. Take 1/2 cup filling at a time and form into patties.
Preheat skillet or grill. Brush or drizzle with oil. Cook burgers for 2 – 3 minutes on each side. Serve on warm buns topped with dill tarter sauce.