The voronoi formula for GL(n, )

A Voronoi formula is an identity A=B where A is a weighted sum over Fourier coefficients of an automorphic form and B is another weighted sum involving the Fourier coefficients of the dual automorphic form. The weights in A are additive characters multiplied by a test function while the weights in B are Kloosterman sums multiplied by a suitable transform of the test function. We derive an explicit Voronoi formula for even Maass forms in ℒ² (SL(n, )/O(n, )/O(n, ) ^x) for all n ≥ 3.