This is an attempt at a practical and essentially self-contained theory of automorphic representations in the framework $$\hbox{$L^2(\varGamma\backslash\r{G})$ with $\r{G}=\r{PSL}(2,\B{R})$ and $\varGamma=\r{PSL}(2,\B{Z})$.}$$
Dimensions of Automorphic Representations, $L$-Functions and Liftings
The conjectural connections between automorphic representations and Galois representations
Periods and global invariants of automorphic representations
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