A relation between the Riemann zeta-function and the hyperbolic laplacian
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 2, pp. 299-313. 
@article{ASNSP_1995_4_22_2_299_0,
     author = {Motohashi, Yoichi},
     title = {A relation between the {Riemann} zeta-function and the hyperbolic laplacian},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {299--313},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 22},
     number = {2},
     year = {1995},
     mrnumber = {1354909},
     zbl = {0831.11046},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1995_4_22_2_299_0/}
}
TY  - JOUR
AU  - Motohashi, Yoichi
TI  - A relation between the Riemann zeta-function and the hyperbolic laplacian
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1995
SP  - 299
EP  - 313
VL  - 22
IS  - 2
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1995_4_22_2_299_0/
LA  - en
ID  - ASNSP_1995_4_22_2_299_0
ER  - 
%0 Journal Article
%A Motohashi, Yoichi
%T A relation between the Riemann zeta-function and the hyperbolic laplacian
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1995
%P 299-313
%V 22
%N 2
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1995_4_22_2_299_0/
%G en
%F ASNSP_1995_4_22_2_299_0
Motohashi, Yoichi. A relation between the Riemann zeta-function and the hyperbolic laplacian. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 2, pp. 299-313. http://archive.numdam.org/item/ASNSP_1995_4_22_2_299_0/

[1] R.J. Anderson - H.M. Stark, Oscillation theorems, Lecture Notes in Math. 899, Springer Verlag, Berlin, 1981, 79-106. | MR | Zbl

[2] F.V. Atkinson, The mean value of the Riemann zeta-function, Acta Math. 81 (1949), 353-376. | MR | Zbl

[3] A. Ivić, Mean Values of the Riemann Zeta-Function, Lect. Math. Phys. 82, Tata Institute, Bombay, 1991. | Zbl

[4] A. Ivić - Y. Motohashi, The mean square of the error term in the fourth moment of the zeta-function, Proc. London Math. Soc. 69 (1994), 309-329. | MR | Zbl

[5] A. Ivić - Y. Motohashi, On the fourth power moment of the Riemann zeta-function, J. Number Theory 51 (1995), 16-45. | MR | Zbl

[6] M. Jutila, The additive divisor problem and exponential sums, Advances in Number Theory, Clarendon Press, Oxford, 1993, 113-135. | MR | Zbl

[7] Y. Motohashi, Spectral mean values of Maass waveform L-functions, J. Number Theory 42 (1992), 258-284. | MR | Zbl

[8] Y. Motohashi, An explicit formula for the fourth power mean of the Riemann zeta-function, Acta Math. 170 (1993), 181-220. | MR | Zbl

[9] Y. Motohashi, The fourth power mean of the Riemann zeta-function, Proc. Amalfi Intern. Symp. Analytic Number Theory, ed. E. Bombieri et al., Salerno, 1993, 325-344. | MR | Zbl

[10] Y. Motohashi, The binary additive divisor problem, Ann. Sci. École Norm. Sup. 27 (1994), 529-572. | Numdam | MR | Zbl

[11] Y. Motohashi, A note on the mean value of the zeta and L-functions. VIII, Proc. Japan Acad. Ser. A 70 (1994), 190-193. | MR | Zbl

[12] Y. Motohashi, The Riemann zeta-function and the non-Euclidean Laplacian, AMS Sugaku Exposition, to appear. | MR | Zbl

[13] L.A. Takhtadjan - A.I. Vinogradov, The zeta-function of the additive divisor problem and the spectral decomposition of the automorphic Laplacian, Sem. LOMI, AN SSSR 134 (1984), 84-116 (Russian). | MR | Zbl

[14] B. Szyd, A note on oscillations in the additive divisor problem, I, Preprint, 1993.