Proceedings of the Japan Academy, Series A, Mathematical Sciences
- Proc. Japan Acad. Ser. A Math. Sci.
- Volume 83, Number 6 (2007), 73-78.
A note on the mean value of the zeta and $L$-functions. XV
The aim of the present article is to render the spectral theory of mean values of automorphic $L$-functions -- in a unified fashion. This is an outcome of the investigation commenced with the parts XII and XIV, where a framework was laid on the basis of the theory of automorphic representations and a general approach to the mean values was envisaged. We restrict ourselves to the situation offered by the full modular group, solely for the sake of simplicity. Details and extensions are to be published elsewhere.
Proc. Japan Acad. Ser. A Math. Sci., Volume 83, Number 6 (2007), 73-78.
First available in Project Euclid: 29 August 2007
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Motohashi, Yoichi. A note on the mean value of the zeta and $L$-functions. XV. Proc. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 6, 73--78. doi:10.3792/pjaa.83.73. https://projecteuclid.org/euclid.pja/1188405574