Geodesic
On the spectrum of the Laplace–Beltrami operator for congruence subgroups of the modular group
Algebra i analiz, Tome 23 (2011) no. 4, pp. 31-39 
V. V. Golovchanskii; M. N. Smotrov. On the spectrum of the Laplace–Beltrami operator for congruence subgroups of the modular group. Algebra i analiz, Tome 23 (2011) no. 4, pp. 31-39. http://geodesic.mathdoc.fr/item/AA_2011_23_4_a1/
@article{AA_2011_23_4_a1,
     author = {V. V. Golovchanskii and M. N. Smotrov},
     title = {On the spectrum of the {Laplace{\textendash}Beltrami} operator for congruence subgroups of the modular group},
     journal = {Algebra i analiz},
     pages = {31--39},
     year = {2011},
     volume = {23},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2011_23_4_a1/}
}
TY  - JOUR
AU  - V. V. Golovchanskii
AU  - M. N. Smotrov
TI  - On the spectrum of the Laplace–Beltrami operator for congruence subgroups of the modular group
JO  - Algebra i analiz
PY  - 2011
SP  - 31
EP  - 39
VL  - 23
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/AA_2011_23_4_a1/
LA  - ru
ID  - AA_2011_23_4_a1
ER  - 
%0 Journal Article
%A V. V. Golovchanskii
%A M. N. Smotrov
%T On the spectrum of the Laplace–Beltrami operator for congruence subgroups of the modular group
%J Algebra i analiz
%D 2011
%P 31-39
%V 23
%N 4
%U http://geodesic.mathdoc.fr/item/AA_2011_23_4_a1/
%G ru
%F AA_2011_23_4_a1

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Steil G., Eigenvalues of the Laplacian and of the Hecke operators for $PSL_2(Z)$, DESY report 94-028, Hamburg, 1994

[2] Shimura G., Vvedenie v arifmeticheskuyu teoriyu avtomorfnykh funktsii, Mir, M., 1973 | MR | Zbl

[3] Katok S., Fuchsian groups, Univ. Chicago Press, Chicago, 1992 | MR | Zbl

[4] Iwaniec H., Spectral methods of automorphic forms, Grad. Stud. in Math., 53, Amer. Math. Soc., Providence, RI, 2002 | MR | Zbl

[5] Golovchanskii V. V., Smotrov M. N., “Yavnaya formula chisla klassov primitivnykh giperbolicheskikh elementov gruppy $\Gamma_0(N)$”, Mat. sb., 199:7 (2008), 63–84 | MR

[6] Golovchanskii V. V., Smotrov M. N., “Multiplikativnye svoistva funktsii chisla klassov primitivnykh giperbolicheskikh elementov kongruents-podgruppy $\Gamma_0(N)$ po urovnyu $N$”, Dalnevost. mat. zh., 9:1–2 (2009), 48–73 | MR

[7] Huxley M. N., “Scattering matrices for congruence subgroups”, Modular Forms (Durham, 1983), Ellis Horwood Ser. Math. Appl. Statist. Oper. Res., ed. R. A. Rankin, Horwood, Chichester, 1984, 141–156 | MR