Geodesic
Dirichlet series of the second kind for irreducible lattices repeated by multiplication
Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 260-268.

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The work constructs a theory of Dirichlet series of the second kind for irreducible lattices repeated by multiplication. In particular, the theorem is proven that Dirichlet series of the second kind for irreducible lattices repeated by multiplication form an algebra over the field of complex numbers. In conclusion, current problems for Dirichlet series of the second kind for irreducible lattices repeated by multiplication are considered, requiring further research.
Keywords: riemann zeta function, dirichlet series. 
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R. V. Tarabrin; N. N. Dobrovol'skii; N. M. Dobrovol'skii. Dirichlet series of the second kind for irreducible lattices repeated by multiplication. Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 260-268. http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a16/

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