Geodesic
$Z$-functions with spherical character of the complete matrix algebra over a function field
Matematičeskie zametki, Tome 5 (1969) no. 5, pp. 577-586 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that the $Z$-functions of a class we consider can be extended and we derive a functional equation. 
@article{MZM_1969_5_5_a10,
     author = {G. N. Maloletkin},
     title = {$Z$-functions with spherical character of the complete matrix algebra over a~function field},
     journal = {Matemati\v{c}eskie zametki},
     pages = {577--586},
     year = {1969},
     volume = {5},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_5_a10/}
}
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G. N. Maloletkin. $Z$-functions with spherical character of the complete matrix algebra over a function field. Matematičeskie zametki, Tome 5 (1969) no. 5, pp. 577-586. http://geodesic.mathdoc.fr/item/MZM_1969_5_5_a10/