In the previous chapter we defined automorphic forms of a rather general type. We have seen examples for the modular case in Chapter 1. In this chapter we discuss the sole general method to construct automorphic forms; it works for a unitary character χ and a spectral parameter s with Re s > 1/2. It is the construction of Poincaré series.
KeywordsSpectral Parameter Eisenstein Series Automorphic Form Double Coset Absolute Convergence
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