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@article{AA_2011_23_4_a1, author = {V. V. Golovchanskii and M. N. Smotrov}, title = {On the spectrum of the {Laplace--Beltrami} operator for congruence subgroups of the modular group}, journal = {Algebra i analiz}, pages = {31--39}, publisher = {mathdoc}, volume = {23}, number = {4}, year = {2011}, 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 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AA_2011_23_4_a1/ LA - ru ID - AA_2011_23_4_a1 ER -
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/
[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