Geodesic
A trace formula for Hecke operators
Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 411-423 
V. L. Kalinin. A trace formula for Hecke operators. Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 411-423. http://geodesic.mathdoc.fr/item/SM_1984_47_2_a9/
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     author = {V. L. Kalinin},
     title = {A~trace formula for {Hecke} operators},
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     volume = {47},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_47_2_a9/}
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This paper establishes a general trace formula for Hecke operators acting on the space of vector-valued forms of real weight $\alpha>2$ for an arbitrary Fuchsian group of the first kind in $SL_2(\mathbf R)$. Bibliography: 7 titles.

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[2] Shimitsu X., “O sledakh operatorov Gekke”, Matematika (sb. perevodov), 10, no. 6, 1966, 25–43

[3] Shimura G., “On the trace formula for Hecke operators”, Acta Math., 132:3–4 (1974), 245–281 | DOI | MR | Zbl

[4] Maaß H., “Über eine Spezialschar vou Modulformen zweiten Grades”, Inventiones mathematicae, 52 (1979), 95–104 | DOI | MR | Zbl

[5] Kpa I., Avtomorfnye formy i kleinovy gruppy, Mir, M., 1975 | MR

[6] Khelgason S., Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1964 | Zbl

[7] Prakhar K., Raspredelenie prostykh chisel, Mir, M., 1967 | MR