Automorphic pairs of distributions on $\mathbb{R}$, and Maass forms of real weights

26 Feb 2020 Miyazaki Tadashi

We give a correspondence between automorphic pairs of distributions on $\mathbb{R}$ and Dirichlet series satisfying functional equations and some additional analytic conditions. Moreover, we show that the notion of automorphic pairs of distributions on $\mathbb{R}$ can be regarded as a generalization of automorphic distributions on smooth principal series representations of the universal covering group of $SL(2,\mathbb{R})$... (read more)

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Categories


  • NUMBER THEORY
  • REPRESENTATION THEORY