Golovchanskii V. V., Smotrov M. N. Yavnaya formula dlya chisla klassov primitivnykh giperbolicheskikh elementov podgruppy $\Gamma_0(N)$. Preprint, KhO IPM DVO RAN, 1994.
Golovchanskii V. V., Smotrov M. N. Raspredelenie chisel klassov primitivnykh giperbolicheskikh elementov podgruppy $\Gamma_0(N)$ po arifmeticheskim progressiyam. Preprint, KhO IPM DVO RAN, 1999.
Golovchanskii V. V., Smotrov M. N. O veschestvenno-analiticheskikh parabolicheskikh formakh prostranstva $L_2(\Gamma_0(4p)H,\chi_{4p})$. Teoriya i chislennye raschety. Preprint, KhO IPM DVO RAN, 1995.
V. V. Golovchanskii, M. N. Smotrov, “On the spectrum of the Laplace–Beltrami operator for congruence subgroups of the modular group”, Algebra i Analiz, 23:4 (2011), 31–39; St. Petersburg Math. J., 23:4 (2012), 659–664
V. V. Golovchanskii, M. N. Smotrov, “Multiplicative characteristics of function for the number of classes of primitive hyperbolic elements in the group $\Gamma_0(N)$ by level $N$”, Dal'nevost. Mat. Zh., 9:1-2 (2009), 48–73
V. V. Golovchanskii, M. N. Smotrov, “An explicit formula for the number of classes of primitive hyperbolic elements in the group $\Gamma_0(N)$”, Mat. Sb., 199:7 (2008), 63–84; Sb. Math., 199:7 (2008), 1009–1031
V. V. Golovchanskii, “Asymptotic behaviour of the spectral function of the Laplace–Beltrami operator for cocompact discrete subgroups of $\operatorname {SL}_2(\mathbb R)$”, Mat. Sb., 189:7 (1998), 23–36; Sb. Math., 189:7 (1998), 977–990
Contact us: