On certain Dirichlet series associated with automorphic forms on SL(2,C)

@article{Takase1986OnCD,
title={On certain Dirichlet series associated with automorphic forms on SL(2,C)},
author={Koichi Y. Takase},
journal={manuscripta mathematica},
year={1986},
volume={56},
pages={293-312}
}

In this note, we will discuss the analogy of some results of Asai [2] in the case of the automorphic forms on SL(2,C). Being combined with the base change lifting to the imaginary quadratic field, we will discuss the L-function L(s,f,Sym2) for an elliptic modular form f. The base change lifting to the field of higher degree will also be discussed.The author would like to express his hearty thanks to Prof. Nobushige Kurokawa for his valuable suggestions on the meromorphy of Euler products.

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