Generating Functions with $\tau$-Invariance and Vertex Representations   of Quantum Affine Algebras $U_{r,s}(\widehat{\mathfrak{g}})$ (I):   Simply-laced Cases
  We put forward the exact version of two-parameter generating functions with $\tau$-invariance, which allows us to give a unified and inherent definition for the Drinfeld realization of two-parameter quantum affine algebras for all the untwisted types. As verification, we first construct their level-one vertex representations of $U_{r,s}(\widehat{\mathfrak{g}})$ for simply-laced types, which in turn well-detect the effectiveness of our definitions both for $(r,s)$-generating functions and $(r,s)$-Drinfeld realization in the framework of establishing the two-parameter vertex representation theory. 
Naihong Hu and Honglian Zhang
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