Geodesic
Asymptotic behaviour of the spectral function of the Laplace–Beltrami operator for cocompact discrete subgroups of $\operatorname {SL}_2(\mathbb R)$
Sbornik. Mathematics, Tome 189 (1998) no. 7, pp. 977-990 
V. V. Golovchanskii. Asymptotic behaviour of the spectral function of the Laplace–Beltrami operator for cocompact discrete subgroups of $\operatorname {SL}_2(\mathbb R)$. Sbornik. Mathematics, Tome 189 (1998) no. 7, pp. 977-990. http://geodesic.mathdoc.fr/item/SM_1998_189_7_a1/
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     title = {Asymptotic behaviour of the~spectral function of {the~Laplace{\textendash}Beltrami} operator for cocompact discrete subgroups of $\operatorname {SL}_2(\mathbb R)$},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An asymptotic formula, uniform in $z$ and $z'$, is obtained for the spectral function $\theta (z,z',\lambda )$ of the Laplace–Beltrami operator for cocompact discrete subgroups of $\operatorname {SL}_2(\mathbb R)$ with power-law lowering of the order of the remainder.

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