## Proceedings of the Japan Academy, Series A, Mathematical Sciences

### A note on the mean value of the zeta and $L$-functions. XIII

#### Abstract

Extending the discussion in the previous note [6] of this series, the group $\mathrm{PSL}_2(\mathbf{C})$ will be dealt with in place of $\mathrm{PSL}_2(\mathbf{R})$. We shall indicate that the functional structure that supports the spectral theory of Kloosterman sums in the complex case is essentially the same as in the real case, though it is more involved as can be expected.

#### Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 78, Number 6 (2002), 87-91.

Dates
First available in Project Euclid: 23 May 2006

https://projecteuclid.org/euclid.pja/1148392681

Digital Object Identifier
doi:10.3792/pjaa.78.87

Mathematical Reviews number (MathSciNet)
MR1913937

Zentralblatt MATH identifier
1116.11066

#### Citation

Bruggeman, Roelof Wichert; Motohashi, Yoichi. A note on the mean value of the zeta and $L$-functions. XIII. Proc. Japan Acad. Ser. A Math. Sci. 78 (2002), no. 6, 87--91. doi:10.3792/pjaa.78.87. https://projecteuclid.org/euclid.pja/1148392681

#### References

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