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}
}
  • K. Takase
  • Published 1 September 1986
  • Mathematics
  • manuscripta mathematica
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. 
Values of Twisted Tensor L-functions of Automorphic Forms Over Imaginary Quadratic Fields
Abstract Let $K$ be a complex quadratic extension of $\mathbb{Q}$ and let ${{\mathbb{A}}_{K}}$ denote the adeles of $K$ . We find special values at all of the critical points of twisted tensor $L$
Large Values of Eigenfunctions on Arithmetic Hyperbolic 3-Manifolds
We prove that, on a distinguished class of arithmetic hyperbolic 3-manifolds, there is a sequence of L2-normalized high-energy Hecke–Maass eigenforms $${\phi_{j}}$$ which achieve values as large as

References

SHOWING 1-9 OF 9 REFERENCES
On the Doi-Naganuma lifting associated with imaginary quadratic fields
Similarly to the real quadratic field case by Doi and Naganuma ([3], [9]) there is a lifting from an elliptic modular form to an automorphic form on SL 2 (C ) with respect to an arithmetic discrete
La conjecture de Weil. I
© Publications mathematiques de l’I.H.E.S., 1974, tous droits reserves. L’acces aux archives de la revue « Publications mathematiques de l’I.H.E.S. » (http://www.
Formes modulaires de poids $1$
© Gauthier-Villars (Editions scientifiques et medicales Elsevier), 1974, tous droits reserves. L’acces aux archives de la revue « Annales scientifiques de l’E.N.S. » (http://www.
On The Meromorphy of Euler Products (I)
On some Euler products, II
On certain Dirichlet series associated with Hilbert modular forms and Rankin's method