Dirichlet series of the second kind for irreducible lattices repeated by multiplication
https://doi.org/10.22405/2226-8383-2024-25-2-260-268
Abstract
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.
Supporting agencies: The work has been prepared by the RSF grant № 23-21-00317 “Geometry of numbers and Diophantine approximations in the number-theoretic method in approximate analysis”
About the Authors
Roman Vladimirovich Tarabrin
Orenburg State University
Russian Federation
Russian Federation
postgraduate student
Nikolai Nikolaevich Dobrovol’skii
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
Nikolai Mikhailovich Dobrovol’skii
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
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Review
For citations:
Tarabrin R.V., Dobrovol’skii N.N., Dobrovol’skii N.M. Dirichlet series of the second kind for irreducible lattices repeated by multiplication. Chebyshevskii Sbornik. 2024;25(2):260-268. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-2-260-268
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